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A235065
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Number of (n+1) X (2+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
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1
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848, 4348, 22936, 125196, 685028, 3780180, 20896656, 116103776, 646515740, 3615891056, 20269554700, 114095152472, 643592714664, 3644779333856, 20679210497560, 117769364855184, 671728722382188, 3845058723067836
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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) = 7*a(n-1) +114*a(n-2) -826*a(n-3) -5390*a(n-4) +40509*a(n-5) +141982*a(n-6) -1101107*a(n-7) -2376591*a(n-8) +18759386*a(n-9) +27110607*a(n-10) -214422274*a(n-11) -218647229*a(n-12) +1714423248*a(n-13) +1266295692*a(n-14) -9847282701*a(n-15) -5264745392*a(n-16) +41312388336*a(n-17) +15449236953*a(n-18) -127755960707*a(n-19) -30541686755*a(n-20) +292034903938*a(n-21) +35307790177*a(n-22) -491841781764*a(n-23) -7382786774*a(n-24) +604462209267*a(n-25) -48701691090*a(n-26) -533018275889*a(n-27) +88708374022*a(n-28) +328737830185*a(n-29) -79723218859*a(n-30) -136723211260*a(n-31) +42223796030*a(n-32) +36429154260*a(n-33) -13346749528*a(n-34) -5768901376*a(n-35) +2417530544*a(n-36) +474735456*a(n-37) -225680256*a(n-38) -14561280*a(n-39) +8110080*a(n-40).
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EXAMPLE
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Some solutions for n=4:
1 3 1 4 3 5 2 3 5 5 3 4 4 3 5 3 4 6 3 5 0
0 5 0 6 2 1 3 1 0 3 4 2 5 1 0 4 2 1 4 3 1
2 4 2 2 1 3 5 6 2 4 2 3 4 3 5 0 1 3 3 5 6
4 3 4 3 5 4 4 2 1 5 6 4 5 1 6 2 0 5 2 1 5
3 5 3 1 0 2 6 1 3 6 4 5 3 2 4 1 2 4 1 3 4
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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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