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.
%I A291536 #9 Feb 16 2025 08:33:50
%S A291536 1,-8,101,-1544,26190,-474144,8975229,-175492664,3516970490,
%T A291536 -71858843264,1491301438354,-31349284476496,666133734882748,
%U A291536 -14284509655611840,308734263333717021,-6718525508918998872,147085140049822666626,-3237191565662618280384,71584853778205231503750
%N A291536 Expansion of the series reversion of x*(1 + 4*x + x^2)/(1 - x)^4.
%C A291536 Reversion of g.f. for the cubes (A000578).
%H A291536 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%H A291536 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SeriesReversion.html">Series Reversion</a>
%H A291536 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A291536 G.f. A(x) satisfies: A(x)*(1 + 4*A(x) + A(x)^2)/(1 - A(x))^4 = x.
%F A291536 a(n) ~ -(-1)^n * (5*sqrt(6) - 12) * 2^(3*n-2) * 3^n / (sqrt(Pi) * n^(3/2)). - _Vaclav Kotesovec_, Nov 11 2017
%F A291536 D-finite with recurrence 7*n*(n-1)*(n+1)*a(n) +4*n*(n-1)*(58*n-83)*a(n-1) -36*(n-1)*(16*n^2-80*n+155)*a(n-2) +432*(-96*n^3+720*n^2-1794*n+1495)*a(n-3) +6912*(4*n-15)*(2*n-7)*(4*n-13)*a(n-4)=0. - _R. J. Mathar_, Jan 25 2023
%t A291536 Rest[CoefficientList[InverseSeries[Series[x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 19}], x], x]]
%Y A291536 Cf. A000578, A007297, A263843.
%K A291536 sign
%O A291536 1,2
%A A291536 _Ilya Gutkovskiy_, Aug 25 2017