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A196798
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Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,2,0,4,1 for x=0,1,2,3,4
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1
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3, 65, 698, 7407, 79003, 834632, 8882811, 94530039, 1004745630, 10681187595, 113575660599, 1207591084696, 12839042473735, 136508257135233, 1451400786295740, 15431631832722251, 164072914020649465
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OFFSET
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1,1
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COMMENTS
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Every 0 is next to 0 3's, every 1 is next to 1 2's, every 2 is next to 2 0's, every 3 is next to 3 4's, every 4 is next to 4 1's
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LINKS
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FORMULA
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Empirical: a(n) = 3*a(n-1) +30*a(n-2) +370*a(n-3) +1399*a(n-4) +4249*a(n-5) +2857*a(n-6) +27530*a(n-7) +31387*a(n-8) -162723*a(n-9) +113191*a(n-10) -530781*a(n-11) -2552551*a(n-12) +2056067*a(n-13) -3922458*a(n-14) -12126608*a(n-15) +16172579*a(n-16) -71459214*a(n-17) -22437375*a(n-18) +165563345*a(n-19) -366883744*a(n-20) +886972008*a(n-21) +2105487192*a(n-22) -2057439682*a(n-23) +1094067313*a(n-24) +4773012177*a(n-25) -8777571629*a(n-26) -2663261458*a(n-27) +4702508946*a(n-28) -24533127177*a(n-29) -7575409820*a(n-30) +15866868518*a(n-31) -9828228558*a(n-32) +40811106836*a(n-33) +37382450621*a(n-34) -42000983678*a(n-35) +6137974622*a(n-36) +1700268373*a(n-37) -29449329620*a(n-38) +29529128681*a(n-39) -25008762739*a(n-40) -33093480964*a(n-41) +29979569889*a(n-42) -18546296134*a(n-43) -4469202319*a(n-44) +19535457672*a(n-45) -4292047862*a(n-46) -665959639*a(n-47) +3569327979*a(n-48) -2506675772*a(n-49) +683182073*a(n-50) +1611021106*a(n-51) -807114949*a(n-52) -37071903*a(n-53) +775096724*a(n-54) +11025048*a(n-55) -239358428*a(n-56) +24509170*a(n-57) +56944180*a(n-58) -37212302*a(n-59) -37246205*a(n-60) -2089375*a(n-61) +7339765*a(n-62) +3732639*a(n-63) +1120309*a(n-64) +193388*a(n-65) -113584*a(n-66) -109387*a(n-67) -47616*a(n-68) -18365*a(n-69) -3952*a(n-70) +922*a(n-71) +378*a(n-72) -20*a(n-73)
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EXAMPLE
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Some solutions for n=5
..0..2..2..0....0..1..2..0....1..0..2..0....0..2..0..1....0..2..1..0
..2..0..0..0....0..0..0..0....2..0..1..0....0..2..0..2....0..0..1..2
..1..0..1..0....2..1..1..2....0..0..0..0....0..2..0..0....2..0..0..0
..0..0..2..1....0..0..0..0....0..1..0..0....0..1..0..0....1..0..0..0
..1..2..0..0....0..2..2..0....0..2..0..2....0..1..2..0....0..2..2..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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