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 A207258 Number of 7 X n 0..1 arrays avoiding 0 0 1 and 1 0 1 horizontally and 0 1 0 and 1 0 1 vertically. 1
 42, 1764, 14406, 64176, 206514, 541380, 1231650, 2524704, 4777290, 8483748, 14307678, 23117136, 36023442, 54423684, 80047002, 115004736, 161844522, 223608420, 303895158, 406926576, 537618354, 701655108, 905569938, 1156828512 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 7 of A207254. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = (1/60)*n^7 + (77/20)*n^6 + (2527/60)*n^5 + (119/4)*n^4 - (644/15)*n^3 + (42/5)*n^2 + (4/5)*n. Conjectures from Colin Barker, Jun 21 2018: (Start) G.f.: 42*x*(1 + 34*x + 35*x^2 - 96*x^3 + 15*x^4 + 14*x^5 - x^6) / (1 - x)^8. a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8) for n>8. (End) EXAMPLE Some solutions for n=4: ..1..0..0..0....1..0..0..0....1..1..1..0....0..0..0..0....1..0..0..0 ..1..1..0..0....1..0..0..0....0..1..1..1....0..1..1..1....1..1..0..0 ..1..1..0..0....1..0..0..0....0..1..1..1....0..1..1..1....0..1..0..0 ..0..1..1..0....0..1..1..0....1..1..0..0....1..1..0..0....0..0..0..0 ..0..1..1..0....0..1..1..0....1..0..0..0....1..0..0..0....1..0..0..0 ..0..1..0..0....0..1..0..0....0..0..0..0....1..0..0..0....1..1..0..0 ..0..1..0..0....0..1..0..0....0..0..0..0....0..1..0..0....0..1..0..0 CROSSREFS Cf. A207254. Sequence in context: A208702 A207471 A207523 * A207953 A207862 A207812 Adjacent sequences: A207255 A207256 A207257 * A207259 A207260 A207261 KEYWORD nonn AUTHOR R. H. Hardin, Feb 16 2012 STATUS approved

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Last modified August 7 21:19 EDT 2024. Contains 375017 sequences. (Running on oeis4.)