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A265960 T(n,k) = Number of n X k integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors less than itself. 5
1, 3, 3, 5, 75, 5, 11, 235, 235, 11, 26, 4267, 2031, 4267, 26, 55, 72764, 31940, 31940, 72764, 55, 119, 527311, 1002328, 8205996, 1002328, 527311, 119, 263, 7155883, 17873307, 661278762, 661278762, 17873307, 7155883, 263, 573, 100785131 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
....1..........3..........5............11..............26..............55
....3.........75........235..........4267...........72764..........527311
....5........235.......2031.........31940.........1002328........17873307
...11.......4267......31940.......8205996.......661278762.....50708665808
...26......72764....1002328.....661278762...1028618143516.167704908247475
...55.....527311...17873307...50708665808.167704908247475
..119....7155883..329266534.8616991831997
..263..100785131.7935241725
..573.1027584101
.1248
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4).
k=2: [order 30].
EXAMPLE
Some solutions for n=3, k=4
..1..4..5..2....1..3..4..0....0..4..0..0....2..1..0..0....1..2..3..0
..3..0..0..0....0..8..1..2....0..0..8..4....1..7..8..0....0..7..8..0
..1..4..5..0....2..1..2..3....0..0..0..1....0..3..0..0....2..1..3..0
CROSSREFS
Column 1 is A196423.
Sequence in context: A241591 A248592 A132809 * A279062 A367763 A005882
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 19 2015
STATUS
approved

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Last modified April 21 16:18 EDT 2024. Contains 371874 sequences. (Running on oeis4.)