The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A349858 Expansion of Sum_{k>=0} x^k/(1 + k^4 * x). 5
 1, 1, 0, -14, 175, 2211, -400994, 25610260, 582496701, -666933657755, 166042332973276, -14222991979095594, -14297382182023795925, 12622343477815735821511, -5840589387156997753180230, -443718496524920696265166664, 5189349322544398120691167482361 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..196 FORMULA a(n) = Sum_{k=0..n} (-k^4)^(n-k). MATHEMATICA a[n_] := Sum[If[k == n - k == 0, 1, (-k^4)^(n-k)], {k, 0, n}]; Array[a, 17, 0] (* Amiram Eldar, Dec 03 2021 *) PROG (PARI) a(n, s=0, t=4) = sum(k=0, n, (-k^t)^(n-k)*k^s); (PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=0, N, x^k/(1+k^4*x))) CROSSREFS Cf. A349856, A349857. Sequence in context: A097583 A269680 A269469 * A144506 A177072 A274565 Adjacent sequences: A349855 A349856 A349857 * A349859 A349860 A349861 KEYWORD sign AUTHOR Seiichi Manyama, Dec 02 2021 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified February 29 16:27 EST 2024. Contains 370425 sequences. (Running on oeis4.)