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 A188820 Number of n X 5 binary arrays without the pattern 0 1 diagonally or antidiagonally. 1
 32, 169, 432, 841, 1360, 2025, 2800, 3721, 4752, 5929, 7216, 8649, 10192, 11881, 13680, 15625, 17680, 19881, 22192, 24649, 27216, 29929, 32752, 35721, 38800, 42025, 45360, 48841, 52432, 56169, 60016, 64009, 68112, 72361, 76720, 81225, 85840, 90601 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 5 of A188824. LINKS R. H. Hardin, Table of n, a(n) for n = 1..200 FORMULA Empirical: a(n) = 2*a(n-1) - 2*a(n-3) + a(n-4) for n>5. Conjectures from Colin Barker, Apr 29 2018: (Start) G.f.: x*(32 + 105*x + 94*x^2 + 41*x^3 - 16*x^4) / ((1 - x)^3*(1 + x)). a(n) = 9 - 48*n + 64*n^2 for n even. a(n) = -48*n + 64*n^2 for n>1 and odd. (End) EXAMPLE Some solutions for 3 X 5: ..1..1..1..1..0....1..1..1..1..1....0..1..0..1..1....0..1..1..1..1 ..0..1..1..0..1....0..1..1..1..0....0..0..0..0..1....1..0..1..1..1 ..1..0..0..1..0....1..0..0..0..0....0..0..0..0..0....0..1..0..0..0 CROSSREFS Cf. A188824. Sequence in context: A302621 A302413 A303180 * A181209 A231299 A029534 Adjacent sequences:  A188817 A188818 A188819 * A188821 A188822 A188823 KEYWORD nonn AUTHOR R. H. Hardin, Apr 11 2011 STATUS approved

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Last modified February 18 20:25 EST 2019. Contains 320262 sequences. (Running on oeis4.)