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 A267742 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any west or northeast neighbors modulo n and the upper left element equal to 0. 11
 1, 1, 1, 1, 3, 2, 1, 10, 4, 6, 1, 35, 17, 5, 24, 1, 126, 57, 26, 6, 120, 1, 462, 207, 123, 45, 7, 720, 1, 1716, 786, 633, 249, 82, 8, 5040, 1, 6435, 3057, 3428, 1811, 502, 157, 9, 40320, 1, 24310, 12168, 18899, 14138, 4997, 1008, 306, 10, 362880, 1, 92378, 49161, 106599 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts ......1..1....1....1......1........1.........1.........1..........1..........1 ......1..3...10...35....126......462......1716......6435......24310......92378 ......2..4...17...57....207......786......3057.....12168......49161.....200973 ......6..5...26..123....633.....3428.....18899....106599.....618585....3674665 .....24..6...45..249...1811....14138....114323....938590....7847855...67070467 ....120..7...82..502...4997....55105....649089...7866419...97477205.1225988750 ....720..8..157.1008..13856...211044...3562990..62745587.1149981951 ...5040..9..306.2020..38736...807164..19473397.491779927 ..40320.10..605.4044.109231..3087973.106720862 .362880.11.1202.8092.310419.11817336 LINKS R. H. Hardin, Table of n, a(n) for n = 1..126 EXAMPLE Some solutions for n=4 k=4 ..0..1..1..2....0..1..1..2....0..1..1..2....0..0..1..2....0..1..1..2 ..1..2..2..2....2..2..3..3....1..1..2..2....1..2..2..2....2..2..3..0 ..3..3..3..0....3..0..0..1....2..3..3..0....3..3..3..0....3..3..0..1 ..3..0..0..1....0..1..2..3....3..3..0..0....3..0..1..1....3..0..1..2 CROSSREFS Column 1 is A000142(n-1). Column 2 is A000027(n+1). Row 2 is A001700(n-1). Row 3 is A266868. Sequence in context: A267328 A267425 A267562 * A267278 A267019 A100100 Adjacent sequences:  A267739 A267740 A267741 * A267743 A267744 A267745 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 20 2016 STATUS approved

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Last modified September 20 12:05 EDT 2021. Contains 347586 sequences. (Running on oeis4.)