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A235252
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Number of (n+1) X (2+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
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1
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744, 2592, 8328, 30300, 102000, 382036, 1330480, 5080484, 18163048, 70306060, 256589296, 1003233148, 3722094784, 14665343468, 55134285800, 218558955780, 830555412752, 3308709067460, 12685331083184, 50741901100676
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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) = 6*a(n-1) +95*a(n-2) -616*a(n-3) -3917*a(n-4) +28162*a(n-5) +91198*a(n-6) -756656*a(n-7) -1296093*a(n-8) +13282950*a(n-9) +11064161*a(n-10) -160306388*a(n-11) -45638472*a(n-12) +1364159736*a(n-13) -85868097*a(n-14) -8277407564*a(n-15) +2248525953*a(n-16) +35930764870*a(n-17) -13377839510*a(n-18) -111621640828*a(n-19) +42805415777*a(n-20) +248607718870*a(n-21) -80775638437*a(n-22) -398463896692*a(n-23) +90040174737*a(n-24) +459694923182*a(n-25) -53415557378*a(n-26) -380977947608*a(n-27) +5163558960*a(n-28) +225617403088*a(n-29) +16935519648*a(n-30) -94279251328*a(n-31) -14034380336*a(n-32) +27080927712*a(n-33) +5672434272*a(n-34) -5079024000*a(n-35) -1315882368*a(n-36) +559194624*a(n-37) +167643648*a(n-38) -27371520*a(n-39) -9123840*a(n-40).
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EXAMPLE
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Some solutions for n=4:
7 4 7 5 1 2 5 6 5 4 0 5 3 1 5 2 4 1 2 5 2
3 7 3 3 6 0 6 0 6 1 4 2 1 6 3 7 2 6 6 2 6
6 3 6 6 2 3 1 2 1 4 0 5 4 2 6 2 4 1 1 4 1
1 5 1 3 6 0 6 0 6 2 5 3 2 7 4 6 1 5 4 0 4
7 4 7 4 0 1 4 5 4 6 2 7 5 3 7 3 5 2 0 3 0
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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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