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 A266025 T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself. 8
 1, 3, 3, 4, 7, 4, 5, 14, 14, 5, 9, 42, 33, 42, 9, 16, 99, 91, 91, 99, 16, 25, 259, 316, 577, 316, 259, 25, 39, 719, 1045, 3796, 3796, 1045, 719, 39, 64, 1784, 3394, 19688, 39064, 19688, 3394, 1784, 64, 105, 4792, 11102, 110924, 336357, 336357, 110924, 11102, 4792, 105 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1.....3......4........5..........9...........16...........25............39 ...3.....7.....14.......42.........99..........259..........719..........1784 ...4....14.....33.......91........316.........1045.........3394.........11102 ...5....42.....91......577.......3796........19688.......110924........656555 ...9....99....316.....3796......39064.......336357......3254726......31035211 ..16...259...1045....19688.....336357......4285397.....63460724.....950319651 ..25...719...3394...110924....3254726.....63460724...1577145547...38948760562 ..39..1784..11102...656555...31035211....950319651..38948760562.1561479265416 ..64..4792..36842..3732300..292685424..13831198142.916245375526 .105.12479.122052.21344656.2799525337.203362718849 LINKS R. H. Hardin, Table of n, a(n) for n = 1..127 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-3) +a(n-4) k=2: [order 21] k=3: [order 94] for n>95 EXAMPLE Some solutions for n=4 k=4 ..1..0..0..1....0..1..2..1....0..1..1..0....0..0..1..2....1..0..1..2 ..1..2..3..2....1..3..2..0....2..1..1..1....0..2..2..1....1..1..3..1 ..1..2..3..1....2..1..2..0....0..1..1..1....1..2..0..2....2..2..2..0 ..0..1..2..0....0..2..1..1....2..1..0..1....1..0..0..1....0..1..2..1 CROSSREFS Column 1 is A195971. Sequence in context: A273096 A076619 A318140 * A216626 A319526 A258835 Adjacent sequences:  A266022 A266023 A266024 * A266026 A266027 A266028 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 20 2015 STATUS approved

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Last modified September 23 22:32 EDT 2020. Contains 337315 sequences. (Running on oeis4.)