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A198009
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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 3,3,0,1,2 for x=0,1,2,3,4
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1
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3, 31, 182, 1165, 7513, 46044, 299335, 1949525, 12525114, 80785537, 519974271, 3347219266, 21564067183, 138872373953, 894483382442, 5761371400705, 37106156847545, 238991660206454, 1539276544980245, 9914008701568161
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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 3's, every 2 is next to 2 0's, every 3 is next to 3 1'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) +8*a(n-2) +83*a(n-3) +123*a(n-4) +837*a(n-5) +1568*a(n-6) +6545*a(n-7) +10721*a(n-8) -1738*a(n-9) -60245*a(n-10) -153526*a(n-11) -287857*a(n-12) -373104*a(n-13) -548667*a(n-14) -697213*a(n-15) +887176*a(n-16) +6458686*a(n-17) +14400548*a(n-18) +18345262*a(n-19) +12634222*a(n-20) +11617428*a(n-21) +29998313*a(n-22) +16506566*a(n-23) -150305344*a(n-24) -470331865*a(n-25) -718917063*a(n-26) -389046674*a(n-27) +250555978*a(n-28) +461936224*a(n-29) +914037315*a(n-30) +1826585057*a(n-31) +1730152340*a(n-32) -2042566796*a(n-33) -5747224085*a(n-34) +212898837*a(n-35) +10401327951*a(n-36) +7849369681*a(n-37) -9041028302*a(n-38) -16764712016*a(n-39) -1112767112*a(n-40) +15576401185*a(n-41) +9682020000*a(n-42) -5939760381*a(n-43) -8815226590*a(n-44) +95826523*a(n-45) +4989021910*a(n-46) +1575921676*a(n-47) -1066913092*a(n-48) -413833326*a(n-49) +484095323*a(n-50) +417436401*a(n-51) -43678688*a(n-52) -311897530*a(n-53) +45628072*a(n-54) +88406866*a(n-55) -56347334*a(n-56) -71761668*a(n-57) +24530428*a(n-58) -1009478*a(n-59) +1339465*a(n-60) -355861*a(n-61) -317499*a(n-62) +393395*a(n-63) -107722*a(n-64) +15790*a(n-65) -184*a(n-66) -996*a(n-67) +128*a(n-68)
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EXAMPLE
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Some solutions containing all values 0 to 4 for n=5
..0..0..2..0....0..1..0..2....1..3..1..0....0..1..0..0....0..0..2..0
..2..2..4..2....1..3..1..0....0..1..0..0....1..3..1..2....2..2..4..2
..0..0..2..0....0..2..0..0....0..2..0..0....0..2..0..0....0..0..2..0
..0..2..1..0....2..4..2..2....2..4..2..2....2..4..2..2....0..1..3..1
..0..1..3..1....0..2..0..0....0..2..0..0....0..2..0..0....0..0..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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