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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 August 12 16:32 EDT 2022. Contains 356077 sequences. (Running on oeis4.)