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 A263794 Number of (n+1) X (3+1) 0..1 arrays with each row and column divisible by 3, read as a binary number with top and left being the most significant bits, and rows and columns lexicographically nonincreasing. 2
 3, 3, 7, 7, 14, 14, 25, 25, 41, 41, 63, 63, 92, 92, 129, 129, 175, 175, 231, 231, 298, 298, 377, 377, 469, 469, 575, 575, 696, 696, 833, 833, 987, 987, 1159, 1159, 1350, 1350, 1561, 1561, 1793, 1793, 2047, 2047, 2324, 2324, 2625, 2625, 2951, 2951, 3303, 3303 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 3 of A263799. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = a(n-1) + 3*a(n-2) - 3*a(n-3) - 3*a(n-4) + 3*a(n-5) + a(n-6) - a(n-7). Empirical: a(n) = A058187(n-1) + floor((n+3)/2). - Filip Zaludek, Dec 14 2016 Conjectures from Colin Barker, Dec 14 2016: (Start) a(n) = (n^3 + 6*n^2 + 32*n + 48)/48 for n even. a(n) = (n^3 + 9*n^2 + 47*n + 87)/48 for n odd. G.f.: x*(3 - 5*x^2 + 4*x^4 - x^6) / ((1 - x)^4*(1 + x)^3). (End) EXAMPLE Some solutions for n = 5:   1 1 1 1    1 1 0 0    1 1 0 0    1 1 1 1    0 0 0 0   1 1 1 1    1 1 0 0    1 1 0 0    1 1 1 1    0 0 0 0   1 1 0 0    0 0 0 0    0 0 1 1    1 1 1 1    0 0 0 0   1 1 0 0    0 0 0 0    0 0 1 1    1 1 1 1    0 0 0 0   0 0 1 1    0 0 0 0    0 0 1 1    1 1 1 1    0 0 0 0   0 0 1 1    0 0 0 0    0 0 1 1    1 1 1 1    0 0 0 0 CROSSREFS Cf. A058187, A263799. Sequence in context: A325344 A208474 A187781 * A086530 A147402 A052551 Adjacent sequences:  A263791 A263792 A263793 * A263795 A263796 A263797 KEYWORD nonn AUTHOR R. H. Hardin, Oct 26 2015 STATUS approved

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Last modified May 30 14:31 EDT 2020. Contains 334724 sequences. (Running on oeis4.)