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 A240460 T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4 9
 2, 4, 5, 8, 21, 12, 16, 89, 102, 28, 32, 375, 874, 476, 66, 64, 1583, 7589, 8187, 2200, 156, 128, 6685, 65723, 143237, 75167, 10123, 368, 256, 28241, 568370, 2501883, 2632690, 682018, 46471, 868, 512, 119319, 4916340, 43654661, 92193017, 47636104, 6147372 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2.......4..........8...........16............32.............64 ....5......21.........89..........375..........1583...........6685 ...12.....102........874.........7589.........65723.........568370 ...28.....476.......8187.......143237.......2501883.......43654661 ...66....2200......75167......2632690......92193017.....3228706651 ..156...10123.....682018.....47636104....3337483054...234122685500 ..368...46471....6147372....854671234..119643524281.16795323356869 ..868..213000...55212526..15259447330.4265146133201 .2048..975380..494809053.271656519692 .4832.4464474.4428808128 LINKS R. H. Hardin, Table of n, a(n) for n = 1..84 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +2*a(n-3) k=2: [order 26] Empirical for row n: n=1: a(n) = 2*a(n-1) n=2: a(n) = 6*a(n-1) -7*a(n-2) -4*a(n-3) +8*a(n-4) n=3: [order 23] EXAMPLE Some solutions for n=4 k=4 ..2..0..0..0....2..2..0..0....0..0..0..2....0..2..2..2....2..2..2..2 ..0..0..2..0....2..0..2..0....0..2..0..0....0..0..0..0....2..0..0..0 ..0..0..0..0....2..2..2..2....0..0..2..2....0..0..2..0....0..2..2..2 ..0..2..2..0....3..1..0..0....0..2..2..2....2..2..2..0....0..2..0..0 CROSSREFS Column 1 is A239333 Row 1 is A000079 Sequence in context: A092061 A256760 A281646 * A239405 A097684 A277289 Adjacent sequences:  A240457 A240458 A240459 * A240461 A240462 A240463 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 05 2014 STATUS approved

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Last modified March 31 14:24 EDT 2020. Contains 333151 sequences. (Running on oeis4.)