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 A235273 Number of (n+1) X (3+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). 1
 208, 380, 632, 1280, 2344, 5096, 10088, 23000, 48328, 113720, 249512, 599480, 1355464, 3301496, 7618088, 18722360, 43787848, 108247160, 255425192, 633863480, 1504419784, 3742789496, 8917090088, 22221233720, 53073853768, 132403182200 (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) = a(n-1) + 15*a(n-2) - 15*a(n-3) - 80*a(n-4) + 80*a(n-5) + 180*a(n-6) - 180*a(n-7) - 144*a(n-8) + 144*a(n-9). Empirical g.f.: 4*x*(52 + 43*x - 717*x^2 - 483*x^3 + 3481*x^4 + 1698*x^5 - 7062*x^6 - 1872*x^7 + 5040*x^8) / ((1 - x)*(1 - 2*x)*(1 + 2*x)*(1 - 2*x^2)*(1 - 3*x^2)*(1 - 6*x^2)). - Colin Barker, Oct 18 2018 EXAMPLE Some solutions for n=4: 3 0 2 0 4 2 4 2 3 0 3 0 4 2 4 2 4 0 4 2 1 3 0 3 0 3 0 3 0 2 0 2 1 4 1 4 1 2 1 4 4 1 3 1 2 0 2 0 3 0 3 0 3 1 3 1 4 0 4 2 1 3 0 3 1 4 1 4 0 2 0 2 0 3 0 3 0 1 0 3 3 0 2 0 2 0 2 0 4 1 4 1 2 0 2 0 4 0 4 2 CROSSREFS Column 3 of A235280. Sequence in context: A283152 A260365 A131686 * A255082 A255075 A304281 Adjacent sequences: A235270 A235271 A235272 * A235274 A235275 A235276 KEYWORD nonn AUTHOR R. H. Hardin, Jan 05 2014 STATUS approved

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Last modified January 27 21:49 EST 2023. Contains 359849 sequences. (Running on oeis4.)