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 A252715 Number of (n+2) X (4+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. 1
 96, 63, 70, 97, 135, 178, 257, 368, 492, 722, 1047, 1406, 2077, 3031, 4074, 6037, 8844, 11884, 17642, 25919, 34806, 51737, 76191, 102242, 152137, 224512, 301068, 448402, 662943, 888430, 1324277, 1961135, 2626650, 3918077, 5810940, 7778828, 11610922 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = a(n-1) + 6*a(n-3) - 6*a(n-4) - 10*a(n-6) + 10*a(n-7) + 3*a(n-9) - 3*a(n-10) for n>12. Empirical g.f.: x*(96 - 33*x + 7*x^2 - 549*x^3 + 236*x^4 + x^5 + 877*x^6 - 447*x^7 - 64*x^8 - 262*x^9 + 138*x^10 + 24*x^11) / ((1 - x)*(1 - 3*x^3)*(1 - 3*x^3 + x^6)). - Colin Barker, Dec 05 2018 EXAMPLE Some solutions for n=4: ..0..1..1..0..1..1....0..1..1..0..1..1....0..1..0..0..1..0....0..0..1..0..0..2 ..0..2..0..0..3..0....1..0..1..1..0..1....2..2..0..2..2..0....0..3..3..0..3..3 ..0..0..2..0..0..3....2..2..1..2..2..1....3..0..0..1..0..0....0..1..0..0..1..0 ..0..1..1..0..1..1....0..1..1..0..1..1....0..3..0..0..1..0....0..0..1..0..0..1 ..0..2..0..0..2..0....1..0..1..1..0..1....2..2..0..2..2..0....0..3..3..0..3..3 ..0..0..2..0..0..2....2..2..1..2..2..1....1..0..0..3..0..0....0..2..0..0..1..0 CROSSREFS Column 4 of A252719. Sequence in context: A057400 A216404 A033416 * A050277 A090221 A334654 Adjacent sequences:  A252712 A252713 A252714 * A252716 A252717 A252718 KEYWORD nonn AUTHOR R. H. Hardin, Dec 20 2014 STATUS approved

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Last modified May 12 19:15 EDT 2021. Contains 343829 sequences. (Running on oeis4.)