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 A253157 Number of (n+1) X (6+1) 0..1 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. 1
 325, 336, 345, 380, 452, 596, 884, 1460, 2612, 4916, 9524, 18740, 37172, 74036, 147764, 295220, 590132, 1179956, 2359604, 4718900, 9437492, 18874676, 37749044, 75497780, 150995252, 301990196, 603980084, 1207959860, 2415919412, 4831838516 (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) = 3*a(n-1) - 2*a(n-2) for n>5. Empirical: a(n) = 9*2^(n-1) + 308 for n>3. Empirical g.f.: x*(325 - 639*x - 13*x^2 + 17*x^3 + 2*x^4) / ((1 - x)*(1 - 2*x)). - Colin Barker, Dec 09 2018 EXAMPLE Some solutions for n=6: ..0..1..1..1..1..1..1....1..1..1..1..1..1..1....0..1..1..1..1..1..1 ..0..0..0..0..0..0..0....1..1..1..1..1..1..1....1..1..1..1..1..1..1 ..1..1..1..1..1..1..1....1..1..1..1..1..1..1....0..0..0..0..0..0..0 ..0..0..0..0..0..0..0....1..1..1..1..1..1..1....1..1..1..1..1..1..1 ..1..1..1..1..1..1..1....0..0..0..0..0..0..0....0..0..0..0..0..0..0 ..1..1..1..1..1..1..1....0..0..0..0..0..0..0....1..1..1..1..1..1..1 ..0..0..0..0..0..0..1....0..0..0..0..0..0..0....0..0..0..0..0..0..1 CROSSREFS Column 6 of A253159. Sequence in context: A159976 A253433 A253440 * A184036 A159844 A000443 Adjacent sequences:  A253154 A253155 A253156 * A253158 A253159 A253160 KEYWORD nonn AUTHOR R. H. Hardin, Dec 28 2014 STATUS approved

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Last modified May 22 02:18 EDT 2022. Contains 353933 sequences. (Running on oeis4.)