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A196784
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Number of nX6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,4,3,0,1 for x=0,1,2,3,4
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1
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1, 41, 427, 3569, 40749, 404589, 4216301, 43457133, 448071435, 4621262139, 47666356469, 491646083197, 5070868714285, 52302472643609, 539455130405867, 5564052932385685, 57388767910023213, 591918940819313175
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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 4's, every 2 is next to 2 3's, every 3 is next to 3 0'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) = 4*a(n-1) +43*a(n-2) +173*a(n-3) +404*a(n-4) +1879*a(n-5) +1724*a(n-6) -26692*a(n-7) -95698*a(n-8) -13857*a(n-9) -46749*a(n-10) -323906*a(n-11) +5324345*a(n-12) -1918569*a(n-13) -7548056*a(n-14) +26679737*a(n-15) -73181760*a(n-16) +4572850*a(n-17) +49129333*a(n-18) +193049915*a(n-19) +644135239*a(n-20) -11282513*a(n-21) +35853852*a(n-22) -2264271180*a(n-23) -7091963740*a(n-24) -3010336964*a(n-25) -7489984903*a(n-26) +3979907928*a(n-27) +26802830403*a(n-28) +3495661335*a(n-29) -7562319731*a(n-30) +43728224068*a(n-31) -15233571598*a(n-32) +16663254976*a(n-33) +309597138930*a(n-34) +71832879775*a(n-35) +539444142595*a(n-36) +189484256910*a(n-37) +86764290603*a(n-38) +444188525250*a(n-39) -299734630568*a(n-40) -810397036599*a(n-41) +1776966948736*a(n-42) -3133768200819*a(n-43) +2910687290665*a(n-44) -2490258556440*a(n-45) +657653858844*a(n-46) +780187272805*a(n-47) -2108284752067*a(n-48) +1733979409521*a(n-49) -861542098741*a(n-50) +89310282033*a(n-51) +348821074741*a(n-52) -142118288504*a(n-53) +225320666181*a(n-54) +5430551781*a(n-55) -10321656388*a(n-56) -24267682387*a(n-57) -16487020108*a(n-58) -6467207280*a(n-59) +3590039080*a(n-60) +1160619136*a(n-61) -846974912*a(n-62) -95191936*a(n-63) -25138176*a(n-64) +69014528*a(n-65) +45797376*a(n-66) +8249344*a(n-67) -1376256*a(n-68) -393216*a(n-69)
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EXAMPLE
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Some solutions for n=4
..0..0..0..0..3..0....0..1..0..0..0..0....0..0..1..0..0..0....0..0..3..0..0..0
..0..0..3..3..0..0....1..4..1..0..0..0....0..1..4..1..0..0....0..1..0..0..3..0
..3..0..0..0..0..0....0..1..0..0..0..0....3..0..1..0..0..3....1..4..1..0..3..0
..0..3..0..0..3..0....0..0..0..3..0..0....0..3..0..0..3..0....0..1..0..3..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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