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 A301271 #68 Jan 30 2020 21:29:18
%S A301271 1,-2,-14,-140,-1610,-19964,-259532,-3485144,-47920730,-670890220,
%T A301271 -9526641124,-136837208872,-1984139528644,-28998962341720,
%U A301271 -426699017313880,-6315145456245424,-93937788661650682,-1403541077650545484,-21053116164758182260,-316904801216886322440
%N A301271 Expansion of (1-16*x)^(1/8).
%H A301271 Seiichi Manyama, <a href="/A301271/b301271.txt">Table of n, a(n) for n = 0..833</a>
%F A301271 a(n) = 2^n/n! * Product_{k=0..n-1} (8*k - 1) for n > 0.
%F A301271 a(n) = -sqrt(2-sqrt(2)) * Gamma(1/8) * Gamma(n-1/8) * 16^(n-1) / (Pi*Gamma(n+1)). - _Vaclav Kotesovec_, Jun 16 2018
%F A301271 a(n) ~ -2^(4*n-3) / (Gamma(7/8) * n^(9/8)). - _Vaclav Kotesovec_, Jun 16 2018
%F A301271 D-finite with recurrence: n*a(n) +2*(-8*n+9)*a(n-1)=0. - _R. J. Mathar_, Jan 20 2020
%F A301271 a(n) = -2*A097184(n-1). - _R. J. Mathar_, Jan 20 2020
%o A301271 (PARI) N=20; x='x+O('x^N); Vec((1-16*x)^(1/8))
%Y A301271 Cf. A003557, A007947.
%Y A301271 (1-b*x)^(1/A003557(b)): A002420 (b=4), A004984 (b=8), A004990 (b=9), (-1)^n * A108735 (b=12), this sequence (b=16), (-1)^n * A108733 (b=18), A049393 (b=25), A004996 (b=36), A303007 (b=240), A303055 (b=504), A305886 (b=1728).
%K A301271 sign
%O A301271 0,2
%A A301271 _Seiichi Manyama_, Jun 15 2018