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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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 20 2016
STATUS
approved

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Last modified March 29 04:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)