cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A341834 Dirichlet g.f.: 1 / zeta(s)^8.

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%I A341834 #12 Sep 01 2021 03:09:07
%S A341834 1,-8,-8,28,-8,64,-8,-56,28,64,-8,-224,-8,64,64,70,-8,-224,-8,-224,64,
%T A341834 64,-8,448,28,64,-56,-224,-8,-512,-8,-56,64,64,64,784,-8,64,64,448,-8,
%U A341834 -512,-8,-224,-224,64,-8,-560,28,-224,64,-224,-8,448,64,448,64,64,-8,1792
%N A341834 Dirichlet g.f.: 1 / zeta(s)^8.
%C A341834 Dirichlet inverse of A111218.
%H A341834 Seiichi Manyama, <a href="/A341834/b341834.txt">Table of n, a(n) for n = 1..10000</a>
%F A341834 Multiplicative with a(p^e) = (-1)^e * binomial(8, e).
%F A341834 a(1) = 1; a(n) = -Sum_{d|n, d < n} tau_8(n/d) * a(d).
%t A341834 a[1] = 1; a[n_] := Times @@ ((-1)^#[[2]] Binomial[8, #[[2]]] &/@ FactorInteger[n]); Table[a[n], {n, 60}]
%o A341834 (PARI) for(n=1, 100, print1(direuler(p=2, n, (1 - X)^8)[n], ", ")) \\ _Vaclav Kotesovec_, Feb 22 2021
%Y A341834 Row 8 of A346148.
%Y A341834 Cf. A007427, A007428, A008683, A111218, A247343, A341831, A341832, A341833, A341835, A341836.
%K A341834 sign,mult
%O A341834 1,2
%A A341834 _Ilya Gutkovskiy_, Feb 21 2021