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A265960 T(n,k)=Number of nXk 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

R. H. Hardin, Table of n, a(n) for n = 1..60

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 A005882 A327824

Adjacent sequences:  A265957 A265958 A265959 * A265961 A265962 A265963

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 19 2015

STATUS

approved

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Last modified January 20 14:02 EST 2020. Contains 331094 sequences. (Running on oeis4.)