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 A034975 #28 Dec 20 2022 03:50:02
%S A034975 1,15,345,10695,417105,19603935,1078216425,67927634775,4822862069025,
%T A034975 381006103452975,33147531000408825,3149015445038838375,
%U A034975 324348590839000352625,36002693583129039141375,4284320536392355657823625,544108708121829168543600375,73454675596446937753386050625
%N A034975 One seventh of octo-factorial numbers.
%H A034975 G. C. Greubel, <a href="/A034975/b034975.txt">Table of n, a(n) for n = 1..325</a>
%H A034975 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>.
%F A034975 7*a(n) = (8*n-1)!^8 = Product_{j=1..n} (8*j-1) = (8*n)!/((2*n)!*2^(6*n)*3^2*5 * A045755(n)*A007696(n)*A034909(n)*A034911(n)*A034176(n)).
%F A034975 E.g.f.: (-1+(1-8*x)^(-7/8))/7.
%F A034975 G.f.: x/(1-15*x/(1-8*x/(1-23*x/(1-16*x/(1-31*x/(1-24*x/(1-39*x/(1-32*x/(1-... (continued fraction). - _Philippe Deléham_, Jan 07 2012
%F A034975 a(n) = (1/7) * 8^n * Pochhammer(n, 7/8). - _G. C. Greubel_, Oct 21 2022
%F A034975 From _Amiram Eldar_, Dec 20 2022: (Start)
%F A034975 a(n) = A049210(n)/7.
%F A034975 Sum_{n>=1} 1/a(n) = 7*(e/8)^(1/8)*(Gamma(7/8) - Gamma(7/8, 1/8)). (End)
%t A034975 Table[8^n*Pochhammer[7/8, n]/7, {n, 40}] (* _G. C. Greubel_, Oct 21 2022 *)
%o A034975 (Magma) [n le 1 select 1 else (8*n-1)*Self(n-1): n in [1..40]]; // _G. C. Greubel_, Oct 21 2022
%o A034975 (SageMath) [8^n*rising_factorial(7/8,n)/7 for n in range(1,40)] # _G. C. Greubel_, Oct 21 2022
%Y A034975 Cf. A007696, A034176, A034908, A034909, A034910, A034911, A034912, A034976, A045755, A049210.
%K A034975 easy,nonn
%O A034975 1,2
%A A034975 _Wolfdieter Lang_