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A298051
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Number of nX4 0..1 arrays with every element equal to 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero.
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2
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2, 13, 19, 40, 73, 141, 240, 428, 779, 1531, 2989, 5729, 10760, 20205, 38568, 74861, 144345, 276668, 528526, 1012806, 1946937, 3753744, 7220044, 13870376, 26646526, 51244788, 98611858, 189814459, 365167476, 702384337, 1351233021, 2600175921
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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) = 3*a(n-1) -a(n-2) +a(n-3) -9*a(n-4) +7*a(n-5) +7*a(n-6) -37*a(n-7) +11*a(n-8) +28*a(n-9) +100*a(n-10) -98*a(n-11) -42*a(n-12) +161*a(n-13) -16*a(n-14) -345*a(n-15) -156*a(n-16) +337*a(n-17) +239*a(n-18) -795*a(n-19) +167*a(n-20) +1078*a(n-21) -183*a(n-22) -882*a(n-23) +372*a(n-24) +1998*a(n-25) -553*a(n-26) -1150*a(n-27) +1555*a(n-28) +1083*a(n-29) -3924*a(n-30) -3204*a(n-31) +1846*a(n-32) +337*a(n-33) -2717*a(n-34) -470*a(n-35) +5473*a(n-36) +1235*a(n-37) -3801*a(n-38) +1779*a(n-39) +3426*a(n-40) +552*a(n-41) -310*a(n-42) +2887*a(n-43) +2284*a(n-44) -4842*a(n-45) -3600*a(n-46) +757*a(n-47) -1823*a(n-48) -3322*a(n-49) +653*a(n-50) +4588*a(n-51) +1961*a(n-52) -2239*a(n-53) -1266*a(n-54) +902*a(n-55) +461*a(n-56) -486*a(n-57) -212*a(n-58) -41*a(n-59) -145*a(n-60) +320*a(n-61) +534*a(n-62) +56*a(n-63) -277*a(n-64) -189*a(n-65) -24*a(n-66) +40*a(n-67) +26*a(n-68) +9*a(n-69) +2*a(n-70) -2*a(n-71) -a(n-72) for n>73
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EXAMPLE
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Some solutions for n=5
..0..0..0..0. .0..1..1..0. .0..1..1..0. .0..1..0..1. .0..0..1..1
..1..1..1..1. .0..0..1..0. .0..0..1..0. .0..1..0..1. .1..1..0..0
..0..1..1..0. .1..1..1..0. .1..1..1..0. .1..1..1..0. .0..1..1..1
..0..1..1..0. .0..0..1..1. .0..1..0..1. .1..1..1..1. .0..1..0..0
..1..0..0..1. .1..1..0..0. .0..1..0..1. .1..0..0..0. .0..1..1..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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