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A234707 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). 1

%I

%S 8738,28170,87698,334938,1224482,5236698,21220178,98011242,425712578,

%T 2079662490,9495366578,48409449738,229382700962,1208831597178,

%U 5889904158098,31852450582122,158490761241218,874606884942810

%N 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).

%H R. H. Hardin, <a href="/A234707/b234707.txt">Table of n, a(n) for n = 1..210</a>

%F 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).

%e Some solutions for n=3:

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

%e 6 6 6 5 1 4 0 7 7 4 6 4 5 2 6 4 2 2 0 6

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

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

%Y Column 3 of A234712.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2013

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Last modified September 25 06:22 EDT 2022. Contains 356959 sequences. (Running on oeis4.)