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A304006
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Number of n X 4 0..1 arrays with every element unequal to 0, 2, 3 or 5 king-move adjacent elements, with upper left element zero.
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2
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1, 13, 21, 26, 64, 115, 211, 439, 870, 1725, 3513, 7141, 14372, 29438, 60518, 123439, 253860, 523477, 1075787, 2216143, 4575316, 9438222, 19480290, 40253428, 83178619, 171897255, 355448881, 735100437, 1520380599, 3145360038, 6508033432
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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) = 5*a(n-1) -6*a(n-2) -9*a(n-4) +8*a(n-5) +36*a(n-6) -29*a(n-7) +34*a(n-8) -88*a(n-9) +8*a(n-10) -70*a(n-11) +205*a(n-12) +66*a(n-13) -377*a(n-14) -29*a(n-15) +420*a(n-16) +897*a(n-17) -1329*a(n-18) -1792*a(n-19) +3267*a(n-20) +1953*a(n-21) -3000*a(n-22) -1986*a(n-23) -1836*a(n-24) +4857*a(n-25) -812*a(n-26) +2460*a(n-27) -5658*a(n-28) -21869*a(n-29) +5879*a(n-30) +37979*a(n-31) +39222*a(n-32) -53345*a(n-33) -60350*a(n-34) +80033*a(n-35) +55646*a(n-36) -80249*a(n-37) -99116*a(n-38) +97246*a(n-39) +113723*a(n-40) -115592*a(n-41) -82690*a(n-42) +63249*a(n-43) +23806*a(n-44) -67251*a(n-45) +52726*a(n-46) +64947*a(n-47) -59223*a(n-48) +4895*a(n-49) +22611*a(n-50) -5950*a(n-51) +1369*a(n-52) +5125*a(n-53) -13309*a(n-54) -19653*a(n-55) +5627*a(n-56) +2405*a(n-57) +1342*a(n-58) +2478*a(n-59) +2088*a(n-60) +435*a(n-61) -1017*a(n-62) -263*a(n-63) -116*a(n-64) +64*a(n-65) -96*a(n-66) +48*a(n-67) for n>70.
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EXAMPLE
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Some solutions for n=5
..0..0..1..1. .0..1..1..1. .0..1..1..0. .0..1..0..0. .0..0..0..0
..0..0..1..1. .1..0..0..0. .0..1..0..1. .1..0..1..1. .0..0..0..0
..0..0..1..1. .0..1..1..0. .0..0..1..0. .1..0..1..0. .1..1..1..1
..0..0..1..1. .0..1..0..1. .0..1..0..0. .0..1..0..0. .1..1..1..1
..0..0..1..1. .1..0..0..1. .0..1..1..1. .1..0..0..1. .1..1..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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