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A234559 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 4 (constant-stress 1 X 1 tilings). 1
618, 1240, 2390, 5710, 12750, 33946, 83438, 238306, 621918, 1862530, 5040110, 15596050, 43132350, 136586626, 382788878, 1232735026, 3483571038, 11361560290, 32277779630, 106316188690, 303091761150, 1006241261506, 2875220234318 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 4*a(n-1) +30*a(n-2) -132*a(n-3) -331*a(n-4) +1720*a(n-5) +1530*a(n-6) -11280*a(n-7) -1324*a(n-8) +39136*a(n-9) -12360*a(n-10) -67968*a(n-11) +39456*a(n-12) +46080*a(n-13) -34560*a(n-14).
EXAMPLE
Some solutions for n=5:
3 1 3 1 4 3 3 3 4 1 4 1 4 3 4 1 0 3 4 0
2 4 2 4 1 4 0 4 0 1 0 1 0 3 0 1 4 3 0 0
4 2 4 2 1 0 0 0 4 1 4 1 4 3 4 1 0 3 4 0
0 2 0 2 1 4 0 4 3 4 3 4 1 4 1 2 4 3 0 0
3 1 3 1 4 3 3 3 4 1 4 1 3 2 3 0 0 3 4 0
1 3 1 3 1 4 0 4 2 3 2 3 0 3 0 1 4 3 0 0
CROSSREFS
Column 3 of A234564.
Sequence in context: A275739 A108818 A288412 * A251323 A020377 A210887
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 28 2013
STATUS
approved

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Last modified May 21 13:39 EDT 2024. Contains 372736 sequences. (Running on oeis4.)