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A235235
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Number of (n+1) X (4+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
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1
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4652, 11728, 28400, 77368, 201676, 580668, 1593940, 4773744, 13619216, 41986384, 123455548, 389051892, 1172319572, 3758507320, 11558458656, 37574720456, 117559819820, 386585266780, 1227444437620, 4075831706064, 13106397783216
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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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).
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EXAMPLE
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Some solutions for n=4:
5 0 3 1 4 5 2 5 3 6 2 6 1 6 2 5 1 4 1 6
4 5 2 6 3 1 4 1 5 2 3 1 2 1 3 1 3 0 3 2
5 0 3 1 4 5 2 5 3 6 2 6 1 6 2 4 0 3 0 5
4 5 2 6 3 0 3 0 4 1 5 3 4 3 5 3 5 2 5 4
6 1 4 2 5 3 0 3 1 4 1 5 0 5 1 5 1 4 1 6
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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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