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.

A294325 a(n) = Product_{k=0..n} (5*k + 3)!.

This page as a plain text file.
%I A294325 #5 Oct 28 2017 10:56:02
%S A294325 6,241920,1506440871936000,9644797427717007797649408000000,
%T A294325 249337464544494851133170653103408676989829120000000000,
%U A294325 76020086814652932482688746849816272353956621412690696880710462996480000000000000000
%N A294325 a(n) = Product_{k=0..n} (5*k + 3)!.
%F A294325 a(n) ~ (1 + sqrt(5))^(2/5) * Gamma(2/5)^(1/5) * 2^(n/2 + 1/5) * 5^(5*n^2/2 + 6*n + 43/12) * n^(5*n^2/2 + 6*n + 203/60) * Pi^(n/2 + 3/5) / (A^(1/5) * Gamma(1/5)^(2/5) * exp(15*n^2/4 + 6*n - 1/60)), where A is the Glaisher-Kinkelin constant A074962.
%F A294325 A268506(n) * A294323(n) * A294324(n) * A294325(n) * A294326(n) = A000178(5*n+4).
%t A294325 Table[Product[(5*k + 3)!, {k, 0, n}] , {n, 0, 10}]
%Y A294325 Cf. A268506, A294322, A294323, A294324, A294326.
%K A294325 nonn
%O A294325 0,1
%A A294325 _Vaclav Kotesovec_, Oct 28 2017