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A234733 Number of (n+1)X(3+1) 0..7 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 8 (constant stress 1X1 tilings) 1
2184, 6048, 14760, 45792, 127032, 423072, 1283880, 4481376, 14469624, 52195488, 176064360, 650582112, 2265751992, 8525288352, 30415487400, 116039804256, 421792852344, 1626492482208, 5999520374760, 23327294132832, 87053575664952 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A234738

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

Sequence in context: A254424 A343777 A250628 * A067263 A206057 A130173

Adjacent sequences:  A234730 A234731 A234732 * A234734 A234735 A234736

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 30 2013

STATUS

approved

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Last modified June 17 17:05 EDT 2021. Contains 345085 sequences. (Running on oeis4.)