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 A264701 Number of n X 1 arrays of permutations of 0..n-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 6. 6
 1, 1, 1, 1, 1, 1, 2, 4, 8, 16, 32, 64, 192, 576, 1728, 5184, 15552, 46656, 186624, 746496, 2985984, 11943936, 47775744, 191102976, 955514880, 4777574400, 23887872000, 119439360000, 597196800000, 2985984000000, 17915904000000, 107495424000000, 644972544000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,7 COMMENTS Column 1 of A264704. LINKS R. H. Hardin, Table of n, a(n) for n = 1..84 FORMULA a(n) = Product_{i=0..5} floor((n+i)/6)!. - Alois P. Heinz, Jul 12 2016 a(n) ~ (2*Pi*n)^(5/2) * n! / 6^(n + 3). - Vaclav Kotesovec, Oct 02 2018 EXAMPLE All solutions for n=8 ..6....6....0....0 ..0....0....6....6 ..7....1....1....7 ..1....7....7....1 ..2....2....2....2 ..3....3....3....3 ..4....4....4....4 ..5....5....5....5 MATHEMATICA Table[Product[Floor[(n + i)/6]!, {i, 0, 5}], {n, 1, 40}] (* Vaclav Kotesovec, Oct 02 2018 *) CROSSREFS Cf. A264704. Column k=6 of A275062. Sequence in context: A180209 A344493 A275073 * A195904 A101333 A367652 Adjacent sequences: A264698 A264699 A264700 * A264702 A264703 A264704 KEYWORD nonn AUTHOR R. H. Hardin, Nov 21 2015 STATUS approved

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Last modified May 17 19:53 EDT 2024. Contains 372607 sequences. (Running on oeis4.)