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 A245990 Number of length n+2 0..3 arrays with no pair in any consecutive three terms totalling exactly 3. 1
 28, 68, 164, 396, 956, 2308, 5572, 13452, 32476, 78404, 189284, 456972, 1103228, 2663428, 6430084, 15523596, 37477276, 90478148, 218433572, 527345292, 1273124156, 3073593604, 7420311364, 17914216332, 43248744028, 104411704388 (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) = 2*a(n-1) + a(n-2). Conjectures from Colin Barker, Nov 05 2018: (Start) G.f.: 4*x*(7 + 3*x) / (1 - 2*x - x^2). a(n) = sqrt(2)*((1-sqrt(2))^n*(-4+3*sqrt(2)) + (1+sqrt(2))^n*(4+3*sqrt(2))). (End) EXAMPLE Some solutions for n=10: 3 2 1 1 2 1 1 2 0 2 3 0 1 3 3 0 3 2 1 0 2 3 0 2 2 3 2 0 3 1 2 2 3 3 3 0 3 1 0 2 0 2 2 0 1 1 2 0 3 2 1 1 3 1 0 2 0 3 2 1 3 3 3 2 3 3 1 1 1 1 0 0 0 3 0 1 1 1 3 2 2 3 0 0 3 3 2 2 1 2 2 1 1 3 2 2 2 2 1 0 1 1 2 2 1 3 0 1 1 3 2 2 2 3 1 1 3 3 3 2 1 3 2 0 3 3 3 0 3 3 1 1 3 1 3 2 3 3 0 0 1 2 2 0 2 1 0 3 3 1 2 3 3 2 2 0 1 3 2 1 3 1 0 1 3 0 3 3 2 2 2 0 0 3 3 1 2 0 1 3 3 0 2 1 3 0 3 1 0 1 2 3 CROSSREFS Column 3 of A245995. Sequence in context: A246911 A323918 A039460 * A110829 A242237 A182465 Adjacent sequences: A245987 A245988 A245989 * A245991 A245992 A245993 KEYWORD nonn AUTHOR R. H. Hardin, Aug 09 2014 STATUS approved

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Last modified September 8 04:40 EDT 2024. Contains 375751 sequences. (Running on oeis4.)