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.

A303538 Expansion of ((1 + 8*x)/(1 - 8*x))^(1/8).

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%I A303538 #15 Apr 29 2018 02:16:55
%S A303538 1,2,2,44,86,1724,4244,80024,223718,4033132,12260988,213418728,
%T A303538 689489148,11663520216,39489621864,652201870896,2292944058246,
%U A303538 37099981422156,134565259916012,2138626858270408,7964821656989332,124595233474799752,474734644904361112
%N A303538 Expansion of ((1 + 8*x)/(1 - 8*x))^(1/8).
%H A303538 Seiichi Manyama, <a href="/A303538/b303538.txt">Table of n, a(n) for n = 0..1000</a>
%F A303538 a(n) ~ 2^(3*n + 1/8) / (Gamma(1/8) * n^(7/8)). - _Vaclav Kotesovec_, Apr 26 2018
%F A303538 n*a(n)-2*a(n-1)-64*(n-2)*a(n-2)=0. - _Tani Akinari_, Apr 29 2018
%o A303538 (PARI) N=66; x='x+O('x^N); Vec(((1+8*x)/(1-8*x))^(1/8))
%o A303538 (Maxima) a[n]:=if n<2 then n+1 else (2*a[n-1]+64*(n-2)*a[n-2])/n;
%o A303538 makelist(a[n],n,0,1000); /* _Tani Akinari_, Apr 29 2018 */
%Y A303538 Cf. A063886, A303537.
%K A303538 nonn
%O A303538 0,2
%A A303538 _Seiichi Manyama_, Apr 25 2018