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A235236 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, with no adjacent elements equal (constant stress tilted 1X1 tilings) 1

%I

%S 14944,34916,78824,201676,496520,1355796,3548456,10155532,27803624,

%T 82397748,233564936,710881420,2072212424,6440497140,19215177896,

%U 60740794732,184832632424,592546469556,1834107018632,5950794813484

%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, with no adjacent elements equal (constant stress tilted 1X1 tilings)

%C Column 5 of A235239

%H R. H. Hardin, <a href="/A235236/b235236.txt">Table of n, a(n) for n = 1..177</a>

%F Empirical: a(n) = 7*a(n-1) +69*a(n-2) -574*a(n-3) -1978*a(n-4) +21370*a(n-5) +27951*a(n-6) -478485*a(n-7) -113003*a(n-8) +7195152*a(n-9) -2958344*a(n-10) -76861940*a(n-11) +65204416*a(n-12) +601876824*a(n-13) -702665742*a(n-14) -3516184990*a(n-15) +4973786477*a(n-16) +15464027179*a(n-17) -24964585223*a(n-18) -51381565162*a(n-19) +91429360722*a(n-20) +129074199158*a(n-21) -246783610545*a(n-22) -245370073973*a(n-23) +491176690303*a(n-24) +354658110454*a(n-25) -717262274054*a(n-26) -393919013804*a(n-27) +761914551864*a(n-28) +340116859488*a(n-29) -581525075904*a(n-30) -227924908368*a(n-31) +312863061744*a(n-32) +115489716768*a(n-33) -114941096928*a(n-34) -42030498240*a(n-35) +27265994496*a(n-36) +10170800640*a(n-37) -3740567040*a(n-38) -1442479104*a(n-39) +223948800*a(n-40) +89579520*a(n-41)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 2014

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Last modified July 26 20:17 EDT 2021. Contains 346294 sequences. (Running on oeis4.)