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 A240046 T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4 12
 2, 2, 2, 4, 4, 4, 6, 9, 10, 6, 8, 20, 26, 22, 8, 14, 33, 72, 93, 50, 14, 20, 76, 174, 346, 309, 119, 20, 30, 117, 597, 1110, 1496, 1043, 276, 30, 48, 232, 1187, 5780, 7514, 8567, 3597, 637, 48, 70, 398, 3115, 17297, 55034, 61858, 46381, 12865, 1473, 70, 108, 675, 7269 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2....2......4.......6.........8..........14..........20..........30 ..2....4......9......20........33..........76.........117.........232 ..4...10.....26......72.......174.........597........1187........3115 ..6...22.....93.....346......1110........5780.......17297.......57800 ..8...50....309....1496......7514.......55034......236282.....1248277 .14..119...1043....8567.....61858......640643.....4593632....35084947 .20..276...3597...46381....515675.....8300260...104619164..1204711882 .30..637..12865..268672...4743056...119956268..2789729009.49892724623 .48.1473..45491.1556758..45158204..1944727891.80805084589 .70.3355.163686.9438166.453408919.34311716212 LINKS R. H. Hardin, Table of n, a(n) for n = 1..126 FORMULA Empirical for column k: k=1: a(n) = a(n-2) +2*a(n-3) k=2: [order 38] for n>40 Empirical for row n: n=1: a(n) = a(n-2) +2*a(n-3) n=2: [order 18] for n>22 n=3: [order 76] for n>96 EXAMPLE Some solutions for n=3 k=4 ..2..3..2..2....3..2..2..2....2..3..3..3....2..3..2..2....2..3..3..3 ..3..1..1..0....2..0..0..0....3..1..2..0....3..1..1..3....3..1..1..2 ..3..1..2..3....2..0..0..0....2..1..2..0....2..1..1..2....3..2..2..2 CROSSREFS Row and Column 1 are A239851 Sequence in context: A007294 A053282 A218084 * A001584 A180019 A274496 Adjacent sequences:  A240043 A240044 A240045 * A240047 A240048 A240049 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 31 2014 STATUS approved

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Last modified May 17 10:16 EDT 2022. Contains 353745 sequences. (Running on oeis4.)