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 A252964 Number of (3+2) X (n+2) 0..4 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
 297, 185, 259, 369, 605, 985, 1429, 2421, 3907, 6027, 9989, 16623, 25801, 43767, 71599, 116257, 192617, 324273, 522253, 887501, 1465051, 2445931, 4064909, 6900751, 11349313, 19365335, 32221303, 54651057, 91301921, 156087937 (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-2) - a(n-3) - 15*a(n-4) - 20*a(n-5) + 27*a(n-6) + 53*a(n-7) - 14*a(n-8) - 51*a(n-9) - 45*a(n-10) + 60*a(n-11) + 18*a(n-12) - 18*a(n-13) for n>15. Empirical g.f.: x*(297 - 112*x - 1708*x^2 - 703*x^3 + 3322*x^4 + 7140*x^5 - 3251*x^6 - 14334*x^7 - 2288*x^8 + 9945*x^9 + 14610*x^10 - 10506*x^11 - 5994*x^12 + 3384*x^13 + 216*x^14) / ((1 - x)*(1 + x - x^2)*(1 - x - x^2)*(1 - 3*x^2)*(1 - 2*x^3)*(1 - 3*x^3)). - Colin Barker, Dec 07 2018 EXAMPLE Some solutions for n=2: ..0..1..0..0....0..1..1..2....0..1..1..2....0..1..1..2....0..0..1..1 ..1..2..1..1....1..0..1..1....2..2..3..3....2..0..0..1....2..2..3..3 ..3..3..2..2....3..3..1..3....3..0..0..1....3..4..4..0....4..4..0..0 ..4..4..3..4....2..1..1..0....4..4..2..2....1..2..2..4....1..1..2..2 ..1..1..4..1....1..2..1..1....1..3..3..0....0..3..3..2....3..3..4..4 CROSSREFS Row 3 of A252961. Sequence in context: A223847 A223873 A223798 * A224601 A134260 A260924 Adjacent sequences:  A252961 A252962 A252963 * A252965 A252966 A252967 KEYWORD nonn AUTHOR R. H. Hardin, Dec 25 2014 STATUS approved

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Last modified January 27 20:58 EST 2022. Contains 350633 sequences. (Running on oeis4.)