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A232319
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Number of (3+1)X(n+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero
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1
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13, 115, 1202, 14042, 164014, 1905436, 22161823, 257723189, 2997153100, 34854893113, 405339144562, 4713824245681, 54818634195843, 637504183234586, 7413748797343868, 86216957745461401, 1002645760786026294
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 10*a(n-1) +31*a(n-2) -109*a(n-3) -423*a(n-4) +475*a(n-5) +2814*a(n-6) -563*a(n-7) -11261*a(n-8) -3072*a(n-9) +29843*a(n-10) +16787*a(n-11) -54209*a(n-12) -43221*a(n-13) +65550*a(n-14) +74635*a(n-15) -48250*a(n-16) -90588*a(n-17) +14301*a(n-18) +74590*a(n-19) +8049*a(n-20) -40363*a(n-21) -5412*a(n-22) +7933*a(n-23) +1763*a(n-24) +602*a(n-25) +322*a(n-26) -29*a(n-27) -378*a(n-28) -22*a(n-29) +42*a(n-30) +12*a(n-31) -4*a(n-32) for n>34
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EXAMPLE
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Some solutions for n=5
..0..0..1..0..1..1....0..0..0..1..1..1....0..0..1..1..1..1....0..0..0..0..0..1
..0..1..0..0..1..1....0..0..0..0..1..1....0..1..0..0..0..0....0..1..1..1..1..0
..0..0..0..1..0..0....0..1..1..1..1..1....0..0..0..1..0..0....0..0..0..1..0..1
..0..1..1..1..1..1....1..1..0..0..1..1....1..1..1..0..1..1....0..1..1..1..1..1
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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