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A298618
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Number of nX4 0..1 arrays with every element equal to 1, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.
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1
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1, 16, 7, 83, 218, 682, 4068, 14719, 58834, 277985, 1204782, 4906664, 21938309, 97174951, 408513090, 1787526305, 7877043169, 33779432182, 146714440581, 642467267688, 2779863547713, 12057762218849, 52587827858338
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 3*a(n-1) +5*a(n-2) +57*a(n-3) -156*a(n-4) -351*a(n-5) -951*a(n-6) +3590*a(n-7) +5183*a(n-8) +4339*a(n-9) -34096*a(n-10) -25660*a(n-11) +3662*a(n-12) +146248*a(n-13) +79765*a(n-14) -47042*a(n-15) -341842*a(n-16) -496953*a(n-17) -45050*a(n-18) +732024*a(n-19) +1813063*a(n-20) +1661106*a(n-21) -1611095*a(n-22) -6119633*a(n-23) -1003826*a(n-24) +503488*a(n-25) +13676437*a(n-26) -248473*a(n-27) -3955194*a(n-28) -9720451*a(n-29) -20023138*a(n-30) +67176*a(n-31) +12728483*a(n-32) +49370872*a(n-33) -12440705*a(n-34) +5572516*a(n-35) -30164607*a(n-36) -29511138*a(n-37) -46686868*a(n-38) +49686604*a(n-39) +163711166*a(n-40) -6286637*a(n-41) -167749272*a(n-42) -73163599*a(n-43) +111419033*a(n-44) +65996870*a(n-45) -57325778*a(n-46) -76765511*a(n-47) +10388355*a(n-48) +46465375*a(n-49) +13699781*a(n-50) -11108132*a(n-51) -6964588*a(n-52) +1911839*a(n-53) +1132203*a(n-54) -599180*a(n-55) +244957*a(n-56) +730075*a(n-57) +62262*a(n-58) -281760*a(n-59) -138662*a(n-60) -1440*a(n-61) +15702*a(n-62) +1180*a(n-63) -720*a(n-64) for n>65
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EXAMPLE
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Some solutions for n=5
..0..0..1..1. .0..0..0..0. .0..0..0..1. .0..0..1..1. .0..0..1..1
..0..0..0..0. .1..1..0..0. .0..0..0..1. .0..0..0..0. .1..1..1..1
..1..1..0..0. .0..0..0..0. .0..0..1..1. .1..1..1..1. .1..1..0..0
..0..0..0..0. .1..1..1..1. .1..1..1..1. .1..1..0..0. .1..1..1..1
..0..0..1..1. .1..1..1..1. .1..1..0..0. .1..1..1..1. .0..0..1..1
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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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