cp's OEIS Frontend

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.

A034909 One third of octo-factorial numbers.

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%I A034909 #30 Dec 20 2022 03:51:17
%S A034909 1,11,209,5643,197505,8492715,433128465,25554579435,1712156822145,
%T A034909 128411761660875,10658176217852625,969894035824588875,
%U A034909 96019509546634298625,10274087521489869952875,1181520064971335044580625,145326967991474210483416875,19037832806883121573327610625
%N A034909 One third of octo-factorial numbers.
%H A034909 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>.
%F A034909 3*a(n) = (8*n-5)(!^8) = product(8*j-5, j=1..n).
%F A034909 E.g.f.: (-1+(1-8*x)^(-3/8))/3.
%F A034909 G.f.: x/(1-11x/(1-8x/(1-19x/(1-16x/(1-27x/(1-24x/(1-35x/(1-32x/(1-... (continued fraction). - _Philippe Deléham_, Jan 07 2012
%F A034909 From _Amiram Eldar_, Dec 20 2022: (Start)
%F A034909 a(n) = A144756(n)/3.
%F A034909 Sum_{n>=1} 1/a(n) = 3*(e/8^5)^(1/8)*(Gamma(3/8) - Gamma(3/8, 1/8)). (End)
%Y A034909 Cf. A045755, A034908, A034909, A034910, A034911, A034912, A144756.
%K A034909 easy,nonn
%O A034909 1,2
%A A034909 _Wolfdieter Lang_