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 A231451 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..3 introduced in row major order 15
 2, 3, 6, 4, 15, 23, 7, 32, 97, 102, 12, 87, 340, 715, 492, 24, 229, 1598, 4179, 5643, 2485, 48, 647, 7429, 33659, 54868, 46075, 12858, 103, 1829, 38713, 265510, 738459, 741430, 382341, 67354, 222, 5293, 203544, 2308095, 9796477, 16471575, 10145989, 3196783 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .......2.........3...........4.............7..............12.................24 .......6........15..........32............87.............229................647 ......23........97.........340..........1598............7429..............38713 .....102.......715........4179.........33659..........265510............2308095 .....492......5643.......54868........738459.........9796477..........144109697 ....2485.....46075......741430......16471575.......367351650.........9081622778 ...12858....382341....10145989.....370059818.....13839802182.......572792301557 ...67354...3196783...139597860....8337875579....522071407304.....36148438185936 ..355003..26821757..1925134584..188061528227..19702443415959...2281891799253071 .1876862.225400759.26574209688.4243377409271.743668294490912.144055012148018656 LINKS R. H. Hardin, Table of n, a(n) for n = 1..126 FORMULA Empirical for column k: k=1: a(n) = 11*a(n-1) -41*a(n-2) +65*a(n-3) -43*a(n-4) +9*a(n-5) k=2: [order 7] k=3: [order 17] k=4: [order 25] k=5: [order 65] Empirical for row n: n=1: a(n) = 3*a(n-1) +a(n-2) -7*a(n-3) +a(n-4) +3*a(n-5) n=2: [order 16] n=3: [order 50] for n>51 EXAMPLE Some solutions for n=4 k=4 ..0..0..1..1..1....0..0..1..1..0....0..0..0..1..1....0..0..1..1..1 ..0..1..1..1..0....0..1..1..0..0....0..0..1..1..1....0..1..1..1..0 ..1..1..1..0..0....1..2..2..0..0....0..1..2..2..0....0..0..0..0..2 ..1..1..1..1..1....2..2..0..0..0....1..2..2..0..0....2..2..2..2..2 ..0..0..0..0..0....3..3..3..3..3....0..0..0..0..0....1..1..1..1..1 CROSSREFS Row 1 is A231337(n-1) Sequence in context: A227296 A318846 A231263 * A126063 A214352 A248090 Adjacent sequences: A231448 A231449 A231450 * A231452 A231453 A231454 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 09 2013 STATUS approved

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Last modified December 2 23:09 EST 2023. Contains 367526 sequences. (Running on oeis4.)