OFFSET
1,5
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..62
FORMULA
a(n) = Product_{i=0..3} floor((n+i)/4)!. - Alois P. Heinz, Jul 12 2016
a(n) ~ Pi^(3/2) * n^(3/2) * n! / 2^(2*n + 5/2). - Vaclav Kotesovec, Oct 02 2018
Sum_{n>0} floor((n-1)/4)/a(n) = 1. - Peter McNair, May 29 2022
EXAMPLE
All solutions for n=6:
0 4 4 0
4 0 0 4
1 1 5 5
5 5 1 1
2 2 2 2
3 3 3 3
MATHEMATICA
Table[Product[Floor[(n + i)/4]!, {i, 0, 3}], {n, 1, 30}] (* Vaclav Kotesovec, Oct 02 2018 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 19 2015
STATUS
approved