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 A266101 T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal and antidiagonal neighbors exactly one smaller than itself. 13
 1, 3, 1, 4, 5, 1, 5, 13, 16, 1, 9, 36, 64, 39, 1, 16, 100, 161, 230, 105, 1, 25, 233, 736, 929, 1012, 272, 1, 39, 680, 3846, 6307, 4893, 3928, 715, 1, 64, 2201, 16103, 52171, 53442, 26948, 16428, 1869, 1, 105, 6508, 62778, 371130, 841668, 457738, 145274, 65736 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .1.....3.......4........5..........9...........16.............25 .1.....5......13.......36........100..........233............680 .1....16......64......161........736.........3846..........16103 .1....39.....230......929.......6307........52171.........371130 .1...105....1012.....4893......53442.......841668........9880139 .1...272....3928....26948.....457738.....12401485......240721036 .1...715...16428...145274....3899732....192212829.....6206090116 .1..1869...65736...790986...33335734...2895851074...154469020054 .1..4896..269908..4286644..284461696..44366390231..3932140956510 .1.12815.1091720.23281595.2429715557.672954998752.98694163378141 LINKS R. H. Hardin, Table of n, a(n) for n = 1..161 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 2*a(n-1) +2*a(n-2) -a(n-3) k=3: a(n) = a(n-1) +12*a(n-2) +5*a(n-3) -12*a(n-4) -2*a(n-5) k=4: [order 15] for n>16 k=5: [order 17] for n>20 k=6: [order 72] for n>75 Empirical for row n: n=1: a(n) = a(n-1) +a(n-3) +a(n-4) n=2: [order 16] for n>19 n=3: [order 64] for n>68 EXAMPLE Some solutions for n=4 k=4 ..1..0..1..1....0..1..2..1....0..1..2..1....0..0..0..1....1..0..0..0 ..0..2..0..1....1..0..0..1....1..0..0..1....1..1..1..0....1..2..1..2 ..1..0..1..2....1..2..1..1....1..1..1..1....2..1..1..2....0..1..1..1 ..0..1..1..0....0..0..0..1....1..0..0..0....0..2..1..0....1..0..0..1 CROSSREFS Column 2 is A121646(n+2). Row 1 is A195971. Sequence in context: A343516 A029637 A097207 * A118469 A319649 A198553 Adjacent sequences: A266098 A266099 A266100 * A266102 A266103 A266104 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 21 2015 STATUS approved

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Last modified May 30 10:12 EDT 2023. Contains 363050 sequences. (Running on oeis4.)