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A298556
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Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.
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1
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2, 52, 219, 956, 4304, 19843, 90153, 411915, 1883419, 8606261, 39318528, 179689129, 821125409, 3752220577, 17146552549, 78354832275, 358057427672, 1636215092867, 7477016924526, 34167732374529, 156136328399884, 713496452583759
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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) = 8*a(n-1) -20*a(n-2) +49*a(n-3) -196*a(n-4) +308*a(n-5) -326*a(n-6) +1239*a(n-7) -517*a(n-8) -2020*a(n-9) -613*a(n-10) -9724*a(n-11) +22439*a(n-12) -5675*a(n-13) +39151*a(n-14) -48357*a(n-15) -43649*a(n-16) -21673*a(n-17) -38307*a(n-18) +352556*a(n-19) -196442*a(n-20) +457493*a(n-21) -919088*a(n-22) +406757*a(n-23) -1051166*a(n-24) +602954*a(n-25) +216871*a(n-26) +1153519*a(n-27) +2796478*a(n-28) -1014635*a(n-29) -1755416*a(n-30) -9671453*a(n-31) -3605371*a(n-32) +3426204*a(n-33) +14747831*a(n-34) +15049334*a(n-35) -737998*a(n-36) -14838285*a(n-37) -18964427*a(n-38) -7153439*a(n-39) +11319873*a(n-40) +12605231*a(n-41) +10901606*a(n-42) -310980*a(n-43) -8883936*a(n-44) -9199327*a(n-45) -6540647*a(n-46) +2235666*a(n-47) +5754163*a(n-48) +4520336*a(n-49) +1631024*a(n-50) -349534*a(n-51) -1583115*a(n-52) -928437*a(n-53) -646804*a(n-54) -148621*a(n-55) +199062*a(n-56) +106356*a(n-57) +73759*a(n-58) +44940*a(n-59) +3982*a(n-60) -84*a(n-61) +2758*a(n-62) -1320*a(n-63) -282*a(n-64) +2*a(n-65) -66*a(n-66) +2*a(n-67) for n>70
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EXAMPLE
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Some solutions for n=7
..0..0..1..1. .0..0..0..1. .0..0..1..1. .0..0..1..1. .0..0..0..0
..1..1..0..0. .0..0..0..1. .1..1..0..0. .1..1..0..0. .1..1..1..0
..1..0..0..0. .0..0..1..0. .0..0..0..0. .1..1..1..0. .0..0..1..0
..0..0..0..0. .1..1..0..1. .1..0..0..0. .1..1..1..1. .1..1..0..0
..1..1..0..0. .0..1..0..1. .0..1..1..1. .0..0..0..1. .0..0..1..0
..1..0..1..1. .0..1..0..1. .0..0..1..0. .1..1..0..1. .0..0..0..1
..1..0..0..1. .0..1..0..1. .1..1..1..0. .0..0..0..0. .0..0..0..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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