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A234820 Number of (n+1)X(5+1) 0..6 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant stress 1X1 tilings) 1

%I

%S 34092,68570,131704,325424,747192,2099300,5474032,16726940,47728392,

%T 154893260,471526864,1601774924,5115035592,18006947180,59642099152,

%U 215979342860,736198441032,2726527920620,9510472646224,35856810528524

%N Number of (n+1)X(5+1) 0..6 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant stress 1X1 tilings)

%C Column 5 of A234823

%H R. H. Hardin, <a href="/A234820/b234820.txt">Table of n, a(n) for n = 1..89</a>

%F Empirical: a(n) = 8*a(n-1) +60*a(n-2) -620*a(n-3) -1210*a(n-4) +20740*a(n-5) +1580*a(n-6) -392180*a(n-7) +353267*a(n-8) +4606324*a(n-9) -7135240*a(n-10) -34677440*a(n-11) +72387960*a(n-12) +165390560*a(n-13) -443380480*a(n-14) -464032320*a(n-15) +1696321584*a(n-16) +566607168*a(n-17) -3948347520*a(n-18) +465384960*a(n-19) +5084985600*a(n-20) -2142028800*a(n-21) -2757888000*a(n-22) +1741824000*a(n-23)

%e Some solutions for n=3

%e ..1..4..0..6..3..6....6..2..6..4..0..1....5..2..6..3..5..1....4..0..6..1..5..2

%e ..3..0..2..2..5..2....0..2..0..4..6..1....0..3..1..4..0..2....2..4..4..5..3..6

%e ..1..4..0..6..3..6....6..2..6..4..0..1....4..1..5..2..4..0....4..0..6..1..5..2

%e ..4..1..3..3..6..3....0..2..0..4..6..1....0..3..1..4..0..2....1..3..3..4..2..5

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 31 2013

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Last modified January 28 23:12 EST 2022. Contains 350670 sequences. (Running on oeis4.)