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 A303007 #58 Aug 29 2024 15:51:08
%S A303007 1,-30,-3150,-472500,-81506250,-15160162500,-2956231687500,
%T A303007 -595469525625000,-122815589660156250,-25791273828632812500,
%U A303007 -5493541325498789062500,-1183608449221102734375000,-257434837705589844726562500,-56437637496994696728515625000
%N A303007 Expansion of (1-240*x)^(1/8).
%H A303007 Seiichi Manyama, <a href="/A303007/b303007.txt">Table of n, a(n) for n = 0..421</a>
%F A303007 a(n) = 30^n/n! * Product_{k=0..n-1} (8*k - 1) for n > 0.
%F A303007 a(n) = 15^n * A301271(n).
%F A303007 a(n) ~ -2^(4*n - 3) * 15^n / (Gamma(7/8) * n^(9/8)). - _Vaclav Kotesovec_, Jun 16 2018
%F A303007 D-finite with recurrence: n*a(n) +30*(-8*n+9)*a(n-1)=0. - _R. J. Mathar_, Jan 20 2020
%t A303007 CoefficientList[Series[Surd[1-240x,8],{x,0,20}],x] (* _Harvey P. Dale_, Aug 29 2024 *)
%o A303007 (PARI) N=20; x='x+O('x^N); Vec((1-240*x)^(1/8))
%Y A303007 Cf. A003557, A007947, A049210, A108091.
%Y A303007 (1-b*x)^(1/A003557(b)): A002420 (b=4), A004984 (b=8), A004990 (b=9), (-1)^n * A108735 (b=12), A301271 (b=16), (-1)^n * A108733 (b=18), A049393 (b=25), A004996 (b=36), this sequence (b=240), A303055 (b=504), A305886 (b=1728).
%K A303007 sign
%O A303007 0,2
%A A303007 _Seiichi Manyama_, Jun 15 2018