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 A034996 #22 Aug 18 2025 02:12:30
%S A034996 1,36,1632,81600,4308480,235530240,13189693440,751812526080,
%T A034996 43438057062400,2536782532444160,149439552820346880,
%U A034996 8866746800673914880,529276578255612149760,31756594695336728985600,1913864106972293533532160,115788778471823758778695680,7029059963701301121153761280
%N A034996 Related to octo-factorial numbers A045755.
%C A034996 Convolution of A034977(n-1) with A025753(n), n >= 1.
%H A034996 Michael De Vlieger, <a href="/A034996/b034996.txt">Table of n, a(n) for n = 1..555</a>
%H A034996 Elżbieta Liszewska and Wojciech Młotkowski, <a href="https://arxiv.org/abs/1907.10725">Some relatives of the Catalan sequence</a>, arXiv:1907.10725 [math.CO], 2019.
%H A034996 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>.
%F A034996 a(n) = 8^(n-1)*A045755(n)/n!, where A045755(n) = (8*n-7)!^8 = Product_{j=1..n} (8*j-7).
%F A034996 G.f.: (-1+(1-64*x)^(-1/8))/8.
%F A034996 D-finite with recurrence: n*a(n) + 8*(-8*n+7)*a(n-1) = 0. - _R. J. Mathar_, Jan 28 2020
%F A034996 a(n) ~ 8^(2*n-1) * n^(-7/8) / Gamma(1/8). - _Amiram Eldar_, Aug 18 2025
%t A034996 Rest@ CoefficientList[Series[(-1 + (1 - 64*x)^(-1/8))/8, {x, 0, 14}], x] (* _Michael De Vlieger_, Oct 13 2019 *)
%Y A034996 Cf. A045755, A034977, A025753, A034904, A203142.
%K A034996 easy,nonn
%O A034996 1,2
%A A034996 _Wolfdieter Lang_