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A240003
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Number of 4Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4
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1
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28, 256, 1372, 6527, 27415, 104291, 363859, 1173141, 3539402, 10055917, 27072084, 69433880, 170442542, 402042194, 914489241, 2012051851, 4293710454, 8908363984, 18007433696, 35530979384, 68546844725, 129490989279, 239852605993
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = (1/30411275102208000)*n^19 + (1/914624815104000)*n^18 + (397/2134124568576000)*n^17 + (37/62768369664000)*n^16 + (2567/6276836966400)*n^15 - (77899/8966909952000)*n^14 + (121042813/188305108992000)*n^13 - (5389171/258660864000)*n^12 + (469998043/603542016000)*n^11 - (20022197893/877879296000)*n^10 + (5869313250161/9656672256000)*n^9 - (9505177279259/689762304000)*n^8 + (12579369755410273/47076277248000)*n^7 - (3647143231803217/840647808000)*n^6 + (50430900400493621/871782912000)*n^5 - (804068701944948239/1307674368000)*n^4 + (64298607619642973/12864852000)*n^3 - (25675604169133123/882161280)*n^2 + (25119199779142691/232792560)*n - 191027452 for n>20
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EXAMPLE
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Some solutions for n=5
..0..0..0..3..3....0..3..3..0..0....0..0..0..0..0....0..0..0..0..3
..0..0..3..3..2....0..0..3..1..0....0..0..0..3..3....3..3..0..0..0
..3..3..0..2..2....0..3..3..1..3....3..3..0..2..2....2..2..3..3..0
..0..2..2..0..3....0..2..1..2..3....3..2..1..2..2....2..1..3..2..2
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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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