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A235019 Number of (n+1) X (1+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). 1
88, 332, 1248, 4704, 17728, 66848, 252032, 950464, 3583744, 13515392, 50960896, 192190208, 724671488, 2732976640, 10304956416, 38863420416, 146538360832, 552644962304, 2083802423296, 7858713030656, 29632054018048, 111752346116096 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 18*a(n-2) - 56*a(n-4) + 32*a(n-6).
Empirical g.f.: 4*x*(22 + 83*x - 84*x^2 - 318*x^3 + 48*x^4 + 192*x^5) / (1 - 18*x^2 + 56*x^4 - 32*x^6). - Colin Barker, Oct 17 2018
EXAMPLE
Some solutions for n=4:
0 1 0 4 4 2 0 4 2 0 4 2 1 2 5 0 4 3 1 5
4 2 2 3 3 4 2 3 1 2 3 4 3 1 3 1 0 2 2 3
3 4 3 1 1 5 3 1 2 0 2 0 1 2 1 2 1 0 1 5
4 2 2 3 2 3 4 5 0 1 1 2 5 3 0 4 0 2 2 3
5 0 3 1 1 5 3 1 2 0 5 3 4 5 4 5 2 1 1 5
CROSSREFS
Column 1 of A235026.
Sequence in context: A003782 A235026 A323612 * A241846 A064022 A116065
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 02 2014
STATUS
approved

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Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)