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A197060
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Number of nX7 0..4 arrays with each element equal to the number its horizontal and vertical neighbors equal to 2
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1
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1, 10, 38, 93, 200, 547, 1685, 4932, 13343, 35901, 99603, 280909, 785677, 2175329, 6019355, 16730920, 46595762, 129615164, 360051905, 1000167816, 2780017546, 7729131408, 21485039780, 59712094301, 165955469526, 461272868992
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OFFSET
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1,2
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COMMENTS
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Every 0 is next to 0 2's, every 1 is next to 1 2's, every 2 is next to 2 2's, every 3 is next to 3 2's, every 4 is next to 4 2's
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LINKS
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FORMULA
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Empirical: a(n) = 2*a(n-1) +a(n-2) -a(n-3) +13*a(n-4) +8*a(n-5) -15*a(n-6) -25*a(n-7) -33*a(n-8) -64*a(n-9) -49*a(n-10) -29*a(n-11) +146*a(n-12) +359*a(n-13) +326*a(n-14) +81*a(n-15) -437*a(n-16) -710*a(n-17) -213*a(n-18) +223*a(n-19) +218*a(n-20) +219*a(n-21) +22*a(n-22) +403*a(n-23) +683*a(n-24) -157*a(n-25) -801*a(n-26) -1331*a(n-27) -1032*a(n-28) +549*a(n-29) -10*a(n-30) -188*a(n-31) +1137*a(n-32) +734*a(n-33) +812*a(n-34) +403*a(n-35) -317*a(n-36) +414*a(n-37) -492*a(n-38) +149*a(n-39) +1238*a(n-40) -372*a(n-41) +243*a(n-42) +481*a(n-43) -657*a(n-44) -1340*a(n-45) -2030*a(n-46) -608*a(n-47) +805*a(n-48) +516*a(n-49) +483*a(n-50) -187*a(n-51) -201*a(n-52) +169*a(n-53) -314*a(n-54) -430*a(n-55) +30*a(n-56) +357*a(n-57) +465*a(n-58) +188*a(n-59) -10*a(n-60) -48*a(n-61) +2*a(n-62) +61*a(n-63) -33*a(n-64) -68*a(n-65) +57*a(n-66) +73*a(n-67) +27*a(n-68) +20*a(n-69) +2*a(n-70) -11*a(n-71) -4*a(n-72) -6*a(n-73) -3*a(n-74)
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EXAMPLE
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Some solutions for n=4
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....2..2..1..0..0..0..0
..0..1..1..0..0..1..1....0..1..1..0..0..0..0....2..2..1..0..0..0..0
..1..2..2..1..1..2..2....1..2..2..1..0..0..0....1..1..0..0..0..0..0
..1..2..2..1..1..2..2....1..2..2..1..0..0..0....0..0..0..0..0..0..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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