A234223 - OEIS

A234223

Number of (n+1) X (4+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).

7696, 20724, 56936, 167688, 503272, 1597896, 5162984, 17479656, 60126376, 215032104, 779519336, 2918196648, 11040350632, 42883189416, 167792882024, 670921667496, 2694321027496, 11019119460264, 45144426968936

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OFFSET

1,1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 10*a(n-1) +16*a(n-2) -460*a(n-3) +789*a(n-4) +7170*a(n-5) -23944*a(n-6) -39920*a(n-7) +246076*a(n-8) -38440*a(n-9) -1115136*a(n-10) +1151040*a(n-11) +2005056*a(n-12) -3657600*a(n-13) -331776*a(n-14) +3456000*a(n-15) -1658880*a(n-16).

EXAMPLE

Some solutions for n=4:

2 1 2 4 4 4 1 4 4 1 1 4 1 1 4 2 0 2 0 2

2 4 2 1 4 4 4 4 1 1 1 1 1 4 4 1 2 1 2 1

2 1 2 4 4 1 4 1 1 4 4 1 4 4 1 3 1 3 1 3

1 3 1 0 3 3 3 3 0 0 4 4 4 1 1 1 2 1 2 1

4 3 4 0 0 4 1 4 4 1 0 3 0 0 3 4 2 4 2 4

CROSSREFS

Column 4 of A234227.

Sequence in context: A035907 A307134 A183974 * A253923 A259832 A366490

Adjacent sequences: A234220 A234221 A234222 * A234224 A234225 A234226

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 21 2013

STATUS

approved