Suma de la serie sin(n)/n^3

sin(2)   sin(3)   sin(4)   sin(5)   sin(6)   sin(7)   sin(8)   sin(9)   sin(10)   sin(11)   sin(12)   sin(13)   sin(14)   sin(15)   sin(16)   sin(17)   sin(18)   sin(19)   sin(20)   sin(21)   sin(22)   sin(23)   sin(24)   sin(25)   sin(26)   sin(27)   sin(28)   sin(29)   sin(30)   sin(31)   sin(32)   sin(33)   sin(34)   sin(35)   sin(36)   sin(37)   sin(38)   sin(39)   sin(40)   sin(41)   sin(42)   sin(43)   sin(44)   sin(45)   sin(46)   sin(47)   sin(48)   sin(49)   sin(50)   sin(51)   sin(52)   sin(53)   sin(54)   sin(55)   sin(56)   sin(57)   sin(58)   sin(59)   sin(60)   sin(61)   sin(62)   sin(63)   sin(64)   sin(65)   sin(66)   sin(67)   sin(68)   sin(69)   sin(70)   sin(71)   sin(72)   sin(73)   sin(74)   sin(75)   sin(76)   sin(77)   sin(78)   sin(79)   sin(80)   sin(81)   sin(82)   sin(83)   sin(84)   sin(85)   sin(86)   sin(87)   sin(88)   sin(89)   sin(90)   sin(91)   sin(92)   sin(93)   sin(94)   sin(95)   sin(96)   sin(97)   sin(98)   sin(99)   sin(100)         
------ + ------ + ------ + ------ + ------ + ------ + ------ + ------ + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + -------- + sin(1)
  8        27       64      125      216      343      512      729       1000      1331      1728      2197      2744      3375      4096      4913      5832      6859      8000      9261     10648     12167     13824     15625     17576     19683     21952     24389     27000     29791     32768     35937     39304     42875     46656     50653     54872     59319     64000     68921     74088     79507     85184     91125     97336     103823    110592    117649    125000    132651    140608    148877    157464    166375    175616    185193    195112    205379    216000    226981    238328    250047    262144    274625    287496    300763    314432    328509    343000    357911    373248    389017    405224    421875    438976    456533    474552    493039    512000    531441    551368    571787    592704    614125    636056    658503    681472    704969    729000    753571    778688    804357    830584    857375    884736    912673    941192    970299   1000000          

$$\frac{\sin{\left(4 \right)}}{64} + \frac{\sin{\left(5 \right)}}{125} + \frac{\sin{\left(6 \right)}}{216} + \frac{\sin{\left(11 \right)}}{1331} + \frac{\sin{\left(10 \right)}}{1000} + \frac{\sin{\left(12 \right)}}{1728} + \frac{\sin{\left(17 \right)}}{4913} + \frac{\sin{\left(18 \right)}}{5832} + \frac{\sin{\left(16 \right)}}{4096} + \frac{\sin{\left(23 \right)}}{12167} + \frac{\sin{\left(24 \right)}}{13824} + \frac{\sin{\left(30 \right)}}{27000} + \frac{\sin{\left(29 \right)}}{24389} + \frac{\sin{\left(36 \right)}}{46656} + \frac{\sin{\left(31 \right)}}{29791} + \frac{\sin{\left(37 \right)}}{50653} + \frac{\sin{\left(42 \right)}}{74088} + \frac{\sin{\left(43 \right)}}{79507} + \frac{\sin{\left(35 \right)}}{42875} + \frac{\sin{\left(25 \right)}}{15625} + \frac{\sin{\left(49 \right)}}{117649} + \frac{\sin{\left(48 \right)}}{110592} + \frac{\sin{\left(55 \right)}}{166375} + \frac{\sin{\left(61 \right)}}{226981} + \frac{\sin{\left(54 \right)}}{157464} + \frac{\sin{\left(62 \right)}}{238328} + \frac{\sin{\left(56 \right)}}{175616} + \frac{\sin{\left(68 \right)}}{314432} + \frac{\sin{\left(67 \right)}}{300763} + \frac{\sin{\left(74 \right)}}{405224} + \frac{\sin{\left(41 \right)}}{68921} + \frac{\sin{\left(50 \right)}}{125000} + \frac{\sin{\left(80 \right)}}{512000} + \frac{\sin{\left(73 \right)}}{389017} + \frac{\sin{\left(86 \right)}}{636056} + \frac{\sin{\left(60 \right)}}{216000} + \frac{\sin{\left(87 \right)}}{658503} + \frac{\sin{\left(81 \right)}}{531441} + \frac{\sin{\left(93 \right)}}{804357} + \frac{\sin{\left(99 \right)}}{970299} + \frac{\sin{\left(92 \right)}}{778688} + \frac{\sin{\left(75 \right)}}{421875} + \frac{\sin{\left(79 \right)}}{493039} + \frac{\sin{\left(22 \right)}}{10648} + \frac{\sin{\left(98 \right)}}{941192} + \frac{\sin{\left(100 \right)}}{1000000} + \frac{\sin{\left(69 \right)}}{328509} + \frac{\sin{\left(94 \right)}}{830584} + \frac{\sin{\left(85 \right)}}{614125} + \frac{\sin{\left(66 \right)}}{287496} + \frac{\sin{\left(88 \right)}}{681472} + \frac{\sin{\left(91 \right)}}{753571} + \frac{\sin{\left(44 \right)}}{85184} + \frac{\sin{\left(97 \right)}}{912673} + \frac{\sin{\left(82 \right)}}{551368} + \frac{\sin{\left(63 \right)}}{250047} + \frac{\sin{\left(72 \right)}}{373248} + \frac{\sin{\left(95 \right)}}{857375} + \frac{\sin{\left(78 \right)}}{474552} + \frac{\sin{\left(96 \right)}}{884736} + \frac{\sin{\left(47 \right)}}{103823} + \frac{\sin{\left(89 \right)}}{704969} + \frac{\sin{\left(90 \right)}}{729000} + \frac{\sin{\left(84 \right)}}{592704} + \frac{\sin{\left(76 \right)}}{438976} + \frac{\sin{\left(83 \right)}}{571787} + \frac{\sin{\left(77 \right)}}{456533} + \frac{\sin{\left(70 \right)}}{343000} + \frac{\sin{\left(57 \right)}}{185193} + \frac{\sin{\left(71 \right)}}{357911} + \frac{\sin{\left(53 \right)}}{148877} + \frac{\sin{\left(65 \right)}}{274625} + \frac{\sin{\left(59 \right)}}{205379} + \frac{\sin{\left(64 \right)}}{262144} + \frac{\sin{\left(51 \right)}}{132651} + \frac{\sin{\left(58 \right)}}{195112} + \frac{\sin{\left(38 \right)}}{54872} + \frac{\sin{\left(52 \right)}}{140608} + \frac{\sin{\left(46 \right)}}{97336} + \frac{\sin{\left(45 \right)}}{91125} + \frac{\sin{\left(40 \right)}}{64000} + \frac{\sin{\left(28 \right)}}{21952} + \frac{\sin{\left(34 \right)}}{39304} + \frac{\sin{\left(39 \right)}}{59319} + \frac{\sin{\left(32 \right)}}{32768} + \frac{\sin{\left(19 \right)}}{6859} + \frac{\sin{\left(33 \right)}}{35937} + \frac{\sin{\left(26 \right)}}{17576} + \frac{\sin{\left(27 \right)}}{19683} + \frac{\sin{\left(21 \right)}}{9261} + \frac{\sin{\left(20 \right)}}{8000} + \frac{\sin{\left(13 \right)}}{2197} + \frac{\sin{\left(15 \right)}}{3375} + \frac{\sin{\left(14 \right)}}{2744} + \frac{\sin{\left(9 \right)}}{729} + \frac{\sin{\left(7 \right)}}{343} + \frac{\sin{\left(8 \right)}}{512} + \frac{\sin{\left(3 \right)}}{27} + \frac{\sin{\left(2 \right)}}{8} + \sin{\left(1 \right)}$$

sin(2)/8 + sin(3)/27 + sin(4)/64 + sin(5)/125 + sin(6)/216 + sin(7)/343 + sin(8)/512 + sin(9)/729 + sin(10)/1000 + sin(11)/1331 + sin(12)/1728 + sin(13)/2197 + sin(14)/2744 + sin(15)/3375 + sin(16)/4096 + sin(17)/4913 + sin(18)/5832 + sin(19)/6859 + sin(20)/8000 + sin(21)/9261 + sin(22)/10648 + sin(23)/12167 + sin(24)/13824 + sin(25)/15625 + sin(26)/17576 + sin(27)/19683 + sin(28)/21952 + sin(29)/24389 + sin(30)/27000 + sin(31)/29791 + sin(32)/32768 + sin(33)/35937 + sin(34)/39304 + sin(35)/42875 + sin(36)/46656 + sin(37)/50653 + sin(38)/54872 + sin(39)/59319 + sin(40)/64000 + sin(41)/68921 + sin(42)/74088 + sin(43)/79507 + sin(44)/85184 + sin(45)/91125 + sin(46)/97336 + sin(47)/103823 + sin(48)/110592 + sin(49)/117649 + sin(50)/125000 + sin(51)/132651 + sin(52)/140608 + sin(53)/148877 + sin(54)/157464 + sin(55)/166375 + sin(56)/175616 + sin(57)/185193 + sin(58)/195112 + sin(59)/205379 + sin(60)/216000 + sin(61)/226981 + sin(62)/238328 + sin(63)/250047 + sin(64)/262144 + sin(65)/274625 + sin(66)/287496 + sin(67)/300763 + sin(68)/314432 + sin(69)/328509 + sin(70)/343000 + sin(71)/357911 + sin(72)/373248 + sin(73)/389017 + sin(74)/405224 + sin(75)/421875 + sin(76)/438976 + sin(77)/456533 + sin(78)/474552 + sin(79)/493039 + sin(80)/512000 + sin(81)/531441 + sin(82)/551368 + sin(83)/571787 + sin(84)/592704 + sin(85)/614125 + sin(86)/636056 + sin(87)/658503 + sin(88)/681472 + sin(89)/704969 + sin(90)/729000 + sin(91)/753571 + sin(92)/778688 + sin(93)/804357 + sin(94)/830584 + sin(95)/857375 + sin(96)/884736 + sin(97)/912673 + sin(98)/941192 + sin(99)/970299 + sin(100)/1000000 + sin(1)