The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A264791 Number of n X 1 arrays of permutations of 0..n*1-1 with rows nondecreasing modulo 2 and columns nondecreasing modulo 7. 6
 1, 1, 1, 1, 1, 1, 1, 2, 4, 8, 16, 32, 64, 128, 384, 1152, 3456, 10368, 31104, 93312, 279936, 1119744, 4478976, 17915904, 71663616, 286654464, 1146617856, 4586471424, 22932357120, 114661785600, 573308928000, 2866544640000, 14332723200000, 71663616000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 COMMENTS Column 1 of A264794. LINKS R. H. Hardin, Table of n, a(n) for n = 1..91 FORMULA a(n) = Product_{i=0..6} floor((n+i)/7)!. - Alois P. Heinz, Jul 12 2016 a(n) ~ (2*Pi*n)^3 * n! / 7^(n + 7/2). - Vaclav Kotesovec, Oct 02 2018 EXAMPLE All solutions for n=11 ..0....0....7....0....7....0....7....7....7....7....0....0....0....7....0....7 ..7....7....0....7....0....7....0....0....0....0....7....7....7....0....7....0 ..1....1....8....8....8....1....1....8....1....8....8....8....8....1....1....1 ..8....8....1....1....1....8....8....1....8....1....1....1....1....8....8....8 ..9....2....2....9....9....2....9....2....2....9....9....2....2....9....9....2 ..2....9....9....2....2....9....2....9....9....2....2....9....9....2....2....9 ..3....3...10....3....3...10...10....3...10...10...10...10....3....3...10....3 .10...10....3...10...10....3....3...10....3....3....3....3...10...10....3...10 ..4....4....4....4....4....4....4....4....4....4....4....4....4....4....4....4 ..5....5....5....5....5....5....5....5....5....5....5....5....5....5....5....5 ..6....6....6....6....6....6....6....6....6....6....6....6....6....6....6....6 MATHEMATICA Table[Product[Floor[(n + i)/7]!, {i, 0, 6}], {n, 1, 40}] (* Vaclav Kotesovec, Oct 02 2018 *) CROSSREFS Cf. A264794. Column k=7 of A275062. Sequence in context: A275074 A290687 A290855 * A290851 A290670 A079838 Adjacent sequences:  A264788 A264789 A264790 * A264792 A264793 A264794 KEYWORD nonn AUTHOR R. H. Hardin, Nov 25 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 9 03:42 EST 2021. Contains 349625 sequences. (Running on oeis4.)