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.

A305886 Expansion of (1 - 1728*x)^(1/288).

This page as a plain text file.
%I A305886 #22 Jan 30 2020 21:29:18
%S A305886 1,-6,-5166,-5940900,-7690495050,-10622111763060,-15285218827043340,
%T A305886 -22626491069403298440,-34194284628635734767450,
%U A305886 -52499624999832064779624900,-81615917024738927906404869540,-128166668244121840059567065130360
%N A305886 Expansion of (1 - 1728*x)^(1/288).
%H A305886 Seiichi Manyama, <a href="/A305886/b305886.txt">Table of n, a(n) for n = 0..310</a>
%F A305886 a(n) = 6^n/n! * Product_{k=0..n-1} (288*k - 1) for n > 0.
%F A305886 a(n) = -1728^n * Gamma(n - 1/288) / (288 * Gamma(287/288) * Gamma(n+1)). - _Vaclav Kotesovec_, Jun 14 2018
%F A305886 a(n) ~ -2^(6*n - 5) * 3^(3*n - 2) / (Gamma(287/288) * n^(289/288)). - _Vaclav Kotesovec_, Jun 16 2018
%F A305886 D-finite with recurrence: n*a(n) +6*(-288*n+289)*a(n-1)=0. - _R. J. Mathar_, Jan 17 2020
%o A305886 (PARI) N=20; x='x+O('x^N); Vec((1-1728*x)^(1/288))
%Y A305886 Cf. A004996, A289366.
%K A305886 sign
%O A305886 0,2
%A A305886 _Seiichi Manyama_, Jun 13 2018