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A266067 T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors exactly one smaller than itself. 6
1, 3, 3, 4, 17, 4, 5, 35, 35, 5, 9, 89, 34, 89, 9, 16, 323, 81, 81, 323, 16, 25, 1057, 809, 525, 809, 1057, 25, 39, 3027, 1750, 8262, 8262, 1750, 3027, 39, 64, 9257, 5071, 25663, 154939, 25663, 5071, 9257, 64, 105, 29835, 29256, 148323, 1066148, 1066148, 148323 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1.....3......4.......5.........9........16........25.........39.........64

...3....17.....35......89.......323......1057......3027.......9257......29835

...4....35.....34......81.......809......1750......5071......29256......93170

...5....89.....81.....525......8262.....25663....148323....1480037....7361668

...9...323....809....8262....154939...1066148..11753249..164649556.1624261580

..16..1057...1750...25663...1066148..11211992.156829155.3678276863

..25..3027...5071..148323..11753249.156829155

..39..9257..29256.1480037.164649556

..64.29835..93170.7361668

.105.92561.300067

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..84

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-3) +a(n-4)

k=2: [order 18]

k=3: [order 78]

EXAMPLE

Some solutions for n=4 k=4

..0..0..0..1....2..1..0..0....1..0..0..1....1..0..0..0....1..1..2..0

..0..2..3..2....1..3..2..0....2..2..2..2....1..2..3..0....0..2..2..1

..1..1..2..1....2..0..3..1....1..3..3..1....2..2..2..0....0..3..2..2

..2..3..2..0....1..2..1..2....0..1..1..0....0..1..2..1....0..0..0..1

CROSSREFS

Column 1 is A195971.

Sequence in context: A049925 A291873 A118114 * A300368 A306521 A300369

Adjacent sequences:  A266064 A266065 A266066 * A266068 A266069 A266070

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 20 2015

STATUS

approved

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Last modified September 22 14:26 EDT 2020. Contains 337291 sequences. (Running on oeis4.)