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A300469
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Number of nX5 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
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1
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16, 401, 5363, 80914, 1231578, 18735889, 284885784, 4332278363, 65881928079, 1001882710812, 15235864361246, 231695322340487, 3523444515242366, 53581838868285278, 814831465529877300, 12391331299090081281
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OFFSET
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1,1
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COMMENTS
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Column 5 of A300472.
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = 17*a(n-1) -25*a(n-2) -81*a(n-3) +812*a(n-4) -1456*a(n-5) -2373*a(n-6) +9052*a(n-7) -4328*a(n-8) -35843*a(n-9) -126490*a(n-10) +529366*a(n-11) -372938*a(n-12) -1463695*a(n-13) +3880140*a(n-14) -4201537*a(n-15) -64467*a(n-16) -49909637*a(n-17) +101634894*a(n-18) +32591128*a(n-19) -282518813*a(n-20) +385942732*a(n-21) -790441603*a(n-22) +1407344220*a(n-23) -1110766093*a(n-24) +1076124597*a(n-25) -1249565509*a(n-26) +1621200774*a(n-27) -295679519*a(n-28) +289265669*a(n-29) +335943644*a(n-30) -740188593*a(n-31) +805266359*a(n-32) -155431714*a(n-33) -583221843*a(n-34) +312519183*a(n-35) -530943649*a(n-36) +513632872*a(n-37) -188455454*a(n-38) -165435389*a(n-39) +249871316*a(n-40) -51321046*a(n-41) -53981301*a(n-42) +61029765*a(n-43) -25843476*a(n-44) +286940*a(n-45) +2031723*a(n-46) -1981630*a(n-47) -562629*a(n-48) +722837*a(n-49) +100236*a(n-50) -133805*a(n-51) +113965*a(n-52) +107837*a(n-53) -88923*a(n-54) +46128*a(n-55) -15410*a(n-56) +3048*a(n-57) -216*a(n-58) for n>59
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EXAMPLE
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Some solutions for n=5
..0..0..0..0..0. .0..0..0..0..1. .0..0..0..0..0. .0..0..0..0..1
..0..1..1..1..0. .1..1..0..0..1. .0..1..0..1..1. .1..0..1..0..1
..0..0..0..1..0. .0..1..1..0..0. .0..1..0..1..0. .0..1..1..0..0
..1..1..0..1..1. .0..0..0..1..1. .1..1..0..0..1. .1..0..1..1..1
..0..0..1..0..0. .0..1..1..0..0. .0..1..1..0..1. .0..1..0..0..1
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CROSSREFS
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Cf. A300472.
Sequence in context: A071133 A186854 A035021 * A326102 A300808 A301447
Adjacent sequences: A300466 A300467 A300468 * A300470 A300471 A300472
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Mar 06 2018
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STATUS
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approved
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