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 A253361 Number of (n+2) X (2+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically. 1
 272, 424, 960, 1536, 3136, 5664, 10496, 20000, 36160, 68672, 125760, 234816, 436032, 807360, 1505344, 2787648, 5189184, 9632576, 17894464, 33259840, 61745728, 114769216, 213107776, 395978560, 735485504, 1366348096, 2538108992 (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) = 5*a(n-2) - 8*a(n-4) + 8*a(n-6) + 4*a(n-8). Empirical g.f.: 8*x*(34 + 53*x - 50*x^2 - 73*x^3 + 64*x^4 + 172*x^5 + 40*x^6 + 72*x^7) / (1 - 5*x^2 + 8*x^4 - 8*x^6 - 4*x^8). - Colin Barker, Dec 11 2018 EXAMPLE Some solutions for n=4: ..0..1..1..1....0..1..0..1....1..1..1..1....1..0..0..1....0..1..0..0 ..1..0..1..0....1..0..1..0....1..0..1..1....0..1..0..1....1..0..1..0 ..0..1..1..1....0..0..0..1....1..1..0..1....0..0..0..0....0..1..0..0 ..1..0..1..0....1..0..1..0....1..1..1..1....0..1..0..1....0..0..1..0 ..1..1..1..1....0..0..0..0....0..1..0..1....1..0..0..0....0..1..0..1 ..1..0..1..1....1..0..1..0....1..0..1..1....1..1..0..1....0..0..0..0 CROSSREFS Column 2 of A253367. Sequence in context: A304892 A316574 A062906 * A133514 A235293 A270302 Adjacent sequences: A253358 A253359 A253360 * A253362 A253363 A253364 KEYWORD nonn AUTHOR R. H. Hardin, Dec 30 2014 STATUS approved

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Last modified August 11 00:41 EDT 2024. Contains 375059 sequences. (Running on oeis4.)