100 ____ \ ` \ cos(n) + 1 \ ---------- / 4 / n /___, n = 1
Sum((cos(n) + 1)/n^4, (n, 1, 100))
25573826396142386290342085161090605911174681467255914627145778745665552097634641872702493017090099058898714117655761558521744330460542451353750530369257541921150449 cos(2) cos(3) cos(4) cos(5) cos(6) cos(7) cos(8) cos(9) cos(10) cos(11) cos(12) cos(13) cos(14) cos(15) cos(16) cos(17) cos(18) cos(19) cos(20) cos(21) cos(22) cos(23) cos(24) cos(25) cos(26) cos(27) cos(28) cos(29) cos(30) cos(31) cos(32) cos(33) cos(34) cos(35) cos(36) cos(37) cos(38) cos(39) cos(40) cos(41) cos(42) cos(43) cos(44) cos(45) cos(46) cos(47) cos(48) cos(49) cos(50) cos(51) cos(52) cos(53) cos(54) cos(55) cos(56) cos(57) cos(58) cos(59) cos(60) cos(61) cos(62) cos(63) cos(64) cos(65) cos(66) cos(67) cos(68) cos(69) cos(70) cos(71) cos(72) cos(73) cos(74) cos(75) cos(76) cos(77) cos(78) cos(79) cos(80) cos(81) cos(82) cos(83) cos(84) cos(85) cos(86) cos(87) cos(88) cos(89) cos(90) cos(91) cos(92) cos(93) cos(94) cos(95) cos(96) cos(97) cos(98) cos(99) cos(100) -------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------ + ------ + ------ + ------ + ------ + ------ + ------ + ------ + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + ------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + --------- + cos(1) 23628647485754679362502453724413306715830271665835799111783802082359875324118226512340752054131360850633228709217287632834282348313791572956276708209072537600000000 16 81 256 625 1296 2401 4096 6561 10000 14641 20736 28561 38416 50625 65536 83521 104976 130321 160000 194481 234256 279841 331776 390625 456976 531441 614656 707281 810000 923521 1048576 1185921 1336336 1500625 1679616 1874161 2085136 2313441 2560000 2825761 3111696 3418801 3748096 4100625 4477456 4879681 5308416 5764801 6250000 6765201 7311616 7890481 8503056 9150625 9834496 10556001 11316496 12117361 12960000 13845841 14776336 15752961 16777216 17850625 18974736 20151121 21381376 22667121 24010000 25411681 26873856 28398241 29986576 31640625 33362176 35153041 37015056 38950081 40960000 43046721 45212176 47458321 49787136 52200625 54700816 57289761 59969536 62742241 65610000 68574961 71639296 74805201 78074896 81450625 84934656 88529281 92236816 96059601 100000000
25573826396142386290342085161090605911174681467255914627145778745665552097634641872702493017090099058898714117655761558521744330460542451353750530369257541921150449/23628647485754679362502453724413306715830271665835799111783802082359875324118226512340752054131360850633228709217287632834282348313791572956276708209072537600000000 + cos(2)/16 + cos(3)/81 + cos(4)/256 + cos(5)/625 + cos(6)/1296 + cos(7)/2401 + cos(8)/4096 + cos(9)/6561 + cos(10)/10000 + cos(11)/14641 + cos(12)/20736 + cos(13)/28561 + cos(14)/38416 + cos(15)/50625 + cos(16)/65536 + cos(17)/83521 + cos(18)/104976 + cos(19)/130321 + cos(20)/160000 + cos(21)/194481 + cos(22)/234256 + cos(23)/279841 + cos(24)/331776 + cos(25)/390625 + cos(26)/456976 + cos(27)/531441 + cos(28)/614656 + cos(29)/707281 + cos(30)/810000 + cos(31)/923521 + cos(32)/1048576 + cos(33)/1185921 + cos(34)/1336336 + cos(35)/1500625 + cos(36)/1679616 + cos(37)/1874161 + cos(38)/2085136 + cos(39)/2313441 + cos(40)/2560000 + cos(41)/2825761 + cos(42)/3111696 + cos(43)/3418801 + cos(44)/3748096 + cos(45)/4100625 + cos(46)/4477456 + cos(47)/4879681 + cos(48)/5308416 + cos(49)/5764801 + cos(50)/6250000 + cos(51)/6765201 + cos(52)/7311616 + cos(53)/7890481 + cos(54)/8503056 + cos(55)/9150625 + cos(56)/9834496 + cos(57)/10556001 + cos(58)/11316496 + cos(59)/12117361 + cos(60)/12960000 + cos(61)/13845841 + cos(62)/14776336 + cos(63)/15752961 + cos(64)/16777216 + cos(65)/17850625 + cos(66)/18974736 + cos(67)/20151121 + cos(68)/21381376 + cos(69)/22667121 + cos(70)/24010000 + cos(71)/25411681 + cos(72)/26873856 + cos(73)/28398241 + cos(74)/29986576 + cos(75)/31640625 + cos(76)/33362176 + cos(77)/35153041 + cos(78)/37015056 + cos(79)/38950081 + cos(80)/40960000 + cos(81)/43046721 + cos(82)/45212176 + cos(83)/47458321 + cos(84)/49787136 + cos(85)/52200625 + cos(86)/54700816 + cos(87)/57289761 + cos(88)/59969536 + cos(89)/62742241 + cos(90)/65610000 + cos(91)/68574961 + cos(92)/71639296 + cos(93)/74805201 + cos(94)/78074896 + cos(95)/81450625 + cos(96)/84934656 + cos(97)/88529281 + cos(98)/92236816 + cos(99)/96059601 + cos(100)/100000000 + cos(1)
x^n/n
(x-1)^n
1/2^(n!)
n^2/n!
x^n/n!
k!/(n!*(n+k)!)
csc(n)^2/n^3
1/n^2
1/n^4
1/n^6
1/n
(-1)^n
(-1)^(n + 1)/n
(n + 2)*(-1)^(n - 1)
(3*n - 1)/(-5)^n
(-1)^(n - 1)*n/(6*n - 5)
(-1)^(n + 1)/n*x^n
(3*n - 1)/(-5)^n