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A234707
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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 6 (constant-stress 1 X 1 tilings).
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1
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8738, 28170, 87698, 334938, 1224482, 5236698, 21220178, 98011242, 425712578, 2079662490, 9495366578, 48409449738, 229382700962, 1208831597178, 5889904158098, 31852450582122, 158490761241218, 874606884942810
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OFFSET
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1,1
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LINKS
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FORMULA
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Empirical: a(n) = 13*a(n-1) +163*a(n-2) -2779*a(n-3) -9420*a(n-4) +268200*a(n-5) +60770*a(n-6) -15439130*a(n-7) +22995763*a(n-8) +589369361*a(n-9) -1588530069*a(n-10) -15656100243*a(n-11) +58787313370*a(n-12) +294085396250*a(n-13) -1450484076640*a(n-14) -3845621898440*a(n-15) +25550700910752*a(n-16) +32289252593664*a(n-17) -330371143423376*a(n-18) -113428722066352*a(n-19) +3163397610252320*a(n-20) -1019517140684000*a(n-21) -22338341568842880*a(n-22) +18872130722296320*a(n-23) +114348342295028736*a(n-24) -148610586143628288*a(n-25) -409381709070163968*a(n-26) +722386331480346624*a(n-27) +952125730341396480*a(n-28) -2277950012653363200*a(n-29) -1180887662923776000*a(n-30) +4529957329207296000*a(n-31) +69777190748160000*a(n-32) -5142605210910720000*a(n-33) +1663475920404480000*a(n-34) +2524921315983360000*a(n-35) -1415843728588800000*a(n-36).
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EXAMPLE
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Some solutions for n=3:
1 7 1 6 6 3 5 6 3 6 2 6 1 4 2 6 6 0 4 4
6 6 6 5 1 4 0 7 7 4 6 4 5 2 6 4 2 2 0 6
0 6 0 5 4 1 3 4 4 7 3 7 2 5 3 7 6 0 4 4
4 4 4 3 1 4 0 7 7 4 6 4 5 2 6 4 3 3 1 7
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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