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 A231764 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to one 15
 9, 33, 16, 100, 136, 36, 315, 625, 660, 81, 961, 2976, 5041, 3213, 169, 3024, 15625, 38160, 40000, 14989, 361, 9409, 84817, 356409, 493695, 303601, 70927, 784, 29319, 440896, 3453471, 8231161, 5879679, 2353156, 338352, 1681, 91204, 2280000 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....9.......33........100...........315.............961...............3024 ...16......136........625..........2976...........15625..............84817 ...36......660.......5041.........38160..........356409............3453471 ...81.....3213......40000........493695.........8231161..........143424652 ..169....14989.....303601.......5879679.......175642009.........5493044921 ..361....70927....2353156......71884125......3855664836.......216545491864 ..784...338352...18318400.....893571840.....85629975876......8624298007460 .1681..1603633..141681409...10965349591...1881009507001....340129511751843 .3600..7596720.1096603225..134407778400..41320353904281..13416072442152345 .7744.36066272.8501393209.1654812479232.910635938795025.530629269304561623 LINKS R. H. Hardin, Table of n, a(n) for n = 1..219 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4) -a(n-5) -a(n-6) k=2: [order 21] k=3: [order 45] Empirical for row n: n=1: a(n) = 3*a(n-1) +a(n-3) +7*a(n-4) -20*a(n-5) -2*a(n-6) -4*a(n-8) +8*a(n-9) n=2: [order 36] EXAMPLE Some solutions for n=3 k=4 ..0..1..0..1..1....1..1..1..0..1....0..0..0..0..1....0..1..1..1..0 ..1..0..0..0..0....0..0..0..1..0....0..0..1..0..0....0..0..1..0..0 ..1..0..0..0..1....0..0..0..0..0....0..0..0..1..1....1..0..0..0..0 ..1..0..0..0..0....0..0..0..0..0....1..1..0..0..1....1..0..0..1..1 CROSSREFS Column 1 is A207170 for n>1 Sequence in context: A183426 A061913 A264512 * A208136 A130444 A177697 Adjacent sequences:  A231761 A231762 A231763 * A231765 A231766 A231767 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 13 2013 STATUS approved

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Last modified August 14 13:34 EDT 2020. Contains 336480 sequences. (Running on oeis4.)