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.

A322759 Numerator of Product_{i=1..n, j=1..n, k=1..n, m=1..n} (i+j+k+m-2)/(i+j+k+m-3).

This page as a plain text file.
%I A322759 #12 Jan 03 2021 23:35:34
%S A322759 1,2,500,406594944,17946021496671970416,
%T A322759 266763232240477060473636852903291418,
%U A322759 1455102310580730414248044171189633697513044431339233543733641216
%N A322759 Numerator of Product_{i=1..n, j=1..n, k=1..n, m=1..n} (i+j+k+m-2)/(i+j+k+m-3).
%C A322759 The sequence of rationals A322759/A322760 is the natural successor to A000984 and A008793.
%D A322759 Miklos Bona, editor, Handbook of Enumerative Combinatorics, CRC Press, 2015, page 576, line 3, with a=b=c=d=n.
%e A322759 1, 2, 500/3, 406594944/25, 17946021496671970416/343, 266763232240477060473636852903291418/1701, ...
%p A322759 f4:=proc(n) local a,i,j,k,m;
%p A322759 a:=1;
%p A322759 for i from 1 to n do
%p A322759 for j from 1 to n do
%p A322759 for k from 1 to n do
%p A322759 for m from 1 to n do
%p A322759 a:=a*(i+j+k+m-2)/(i+j+k+m-3); od: od: od: od: a; end;
%p A322759 t1 := [seq(f4(n),n=0..12)];
%Y A322759 Cf. A000984, A008793, A322760.
%K A322759 nonn,frac
%O A322759 0,2
%A A322759 _N. J. A. Sloane_, Dec 28 2018