A234733 - OEIS

A234733

Number of (n+1) X (3+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 8 (constant-stress 1 X 1 tilings).

2184, 6048, 14760, 45792, 127032, 423072, 1283880, 4481376, 14469624, 52195488, 176064360, 650582112, 2265751992, 8525288352, 30415487400, 116039804256, 421792852344, 1626492482208, 5999520374760, 23327294132832, 87053575664952

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OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) +53*a(n-2) -564*a(n-3) -888*a(n-4) +17184*a(n-5) -2382*a(n-6) -296784*a(n-7) +308859*a(n-8) +3196608*a(n-9) -5284083*a(n-10) -22169196*a(n-11) +48357478*a(n-12) +97763896*a(n-13) -273091508*a(n-14) -253071696*a(n-15) +976703832*a(n-16) +271829664*a(n-17) -2148744960*a(n-18) +304750080*a(n-19) +2640988800*a(n-20) -1133222400*a(n-21) -1378944000*a(n-22) +870912000*a(n-23).

EXAMPLE

Some solutions for n=5:

5 0 5 0 4 3 5 2 6 2 5 1 5 2 4 2 0 5 0 4

3 6 3 6 0 7 1 6 2 6 1 5 1 6 0 6 6 3 6 2

6 1 6 1 5 4 6 3 5 1 4 0 7 4 6 4 2 7 2 6

1 4 1 4 0 7 1 6 3 7 2 6 1 6 0 6 7 4 7 3

7 2 7 2 3 2 4 1 7 3 6 2 7 4 6 4 1 6 1 5

4 7 4 7 0 7 1 6 1 5 0 4 2 7 1 7 6 3 6 2

CROSSREFS

Column 3 of A234738.

Sequence in context: A254424 A343777 A250628 * A371474 A067263 A206057

Adjacent sequences: A234730 A234731 A234732 * A234734 A234735 A234736

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 30 2013

STATUS

approved