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.

A114779 Cumulative product of quadruple factorial A007662.

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%I A114779 #9 Feb 16 2025 08:33:00
%S A114779 1,1,2,6,24,120,1440,30240,967680,43545600,5225472000,1207084032000,
%T A114779 463520268288000,271159356948480000,455547719673446400000,
%U A114779 1578472848668491776000000,9698137182219213471744000000
%N A114779 Cumulative product of quadruple factorial A007662.
%H A114779 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Multifactorial.html">Multifactorial.</a>
%F A114779 a(n) = Product_{j=0..n} j!!!!.
%F A114779 a(n) = Product_{j=0..n} A007662(j).
%F A114779 a(n) = n!!!! * a(n-1) where a(0) = 1, a(1) = 1 and n >= 2.
%F A114779 a(n) = n*(n-4)!!!! * a(n-1) where a(0) = 1, a(1) = 1, a(2) = 2.
%e A114779 a(10) = 1!!!! * 2!!!! * 3!!!! * 4!!!! * 5!!!! * 6!!!! * 7!!!! * 8!!!! * 9!!!! * 10!!!! = 1 * 2 * 3 * 4 * 5 * 12 * 21 * 32 * 45 * 120 = 5225472000 = 2^13 * 3^6 * 5^3 * 7.
%Y A114779 Cf. A006882, A007662, A000178, A114347.
%K A114779 easy,nonn
%O A114779 0,3
%A A114779 _Jonathan Vos Post_, Feb 18 2006