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 A264635 Number of n X 1 arrays of permutations of 0..n*1-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 4. 6
 1, 1, 1, 1, 2, 4, 8, 16, 48, 144, 432, 1296, 5184, 20736, 82944, 331776, 1658880, 8294400, 41472000, 207360000, 1244160000, 7464960000, 44789760000, 268738560000, 1881169920000, 13168189440000, 92177326080000, 645241282560000, 5161930260480000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Column 1 of A264638. 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 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 Cf. A264638. Column k=4 of A275062. Sequence in context: A096853 A027155 A129335 * A046237 A013084 A263535 Adjacent sequences:  A264632 A264633 A264634 * A264636 A264637 A264638 KEYWORD nonn AUTHOR R. H. Hardin, Nov 19 2015 STATUS approved

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Last modified January 22 07:39 EST 2020. Contains 331139 sequences. (Running on oeis4.)