cp's OEIS Frontend

A264791 Number of n X 1 arrays of permutations of 0..n*1-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 7.

%I A264791 #13 Oct 02 2018 04:56:50
%S A264791 1,1,1,1,1,1,1,2,4,8,16,32,64,128,384,1152,3456,10368,31104,93312,
%T A264791 279936,1119744,4478976,17915904,71663616,286654464,1146617856,
%U A264791 4586471424,22932357120,114661785600,573308928000,2866544640000,14332723200000,71663616000000
%N A264791 Number of n X 1 arrays of permutations of 0..n*1-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 7.
%C A264791 Column 1 of A264794.
%H A264791 R. H. Hardin, <a href="/A264791/b264791.txt">Table of n, a(n) for n = 1..91</a>
%F A264791 a(n) = Product_{i=0..6} floor((n+i)/7)!. - _Alois P. Heinz_, Jul 12 2016
%F A264791 a(n) ~ (2*Pi*n)^3 * n! / 7^(n + 7/2). - _Vaclav Kotesovec_, Oct 02 2018
%e A264791 All solutions for n=11
%e A264791 ..0....0....7....0....7....0....7....7....7....7....0....0....0....7....0....7
%e A264791 ..7....7....0....7....0....7....0....0....0....0....7....7....7....0....7....0
%e A264791 ..1....1....8....8....8....1....1....8....1....8....8....8....8....1....1....1
%e A264791 ..8....8....1....1....1....8....8....1....8....1....1....1....1....8....8....8
%e A264791 ..9....2....2....9....9....2....9....2....2....9....9....2....2....9....9....2
%e A264791 ..2....9....9....2....2....9....2....9....9....2....2....9....9....2....2....9
%e A264791 ..3....3...10....3....3...10...10....3...10...10...10...10....3....3...10....3
%e A264791 .10...10....3...10...10....3....3...10....3....3....3....3...10...10....3...10
%e A264791 ..4....4....4....4....4....4....4....4....4....4....4....4....4....4....4....4
%e A264791 ..5....5....5....5....5....5....5....5....5....5....5....5....5....5....5....5
%e A264791 ..6....6....6....6....6....6....6....6....6....6....6....6....6....6....6....6
%t A264791 Table[Product[Floor[(n + i)/7]!, {i, 0, 6}], {n, 1, 40}] (* _Vaclav Kotesovec_, Oct 02 2018 *)
%Y A264791 Cf. A264794.
%Y A264791 Column k=7 of A275062.
%K A264791 nonn
%O A264791 1,8
%A A264791 _R. H. Hardin_, Nov 25 2015