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 A240284 T(n,k)=Number of nXk 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 zero plus the sum of the elements diagonally to its northwest, modulo 4 11
 1, 2, 2, 2, 8, 3, 4, 19, 19, 4, 4, 76, 80, 38, 7, 8, 181, 570, 262, 114, 10, 8, 741, 2574, 3457, 1461, 251, 15, 16, 1779, 20764, 28654, 33183, 5443, 612, 24, 16, 7308, 97348, 443168, 484146, 218658, 24490, 1656, 35, 32, 17561, 802835, 3980245, 13490093, 5646644 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ..1....2.......2.........4............4.............8..............8 ..2....8......19........76..........181...........741...........1779 ..3...19......80.......570.........2574.........20764..........97348 ..4...38.....262......3457........28654........443168........3980245 ..7..114....1461.....33183.......484146......13490093......224906182 .10..251....5443....218658......5646644.....281488213.....8597299482 .15..612...24490...1851080.....88953626....8199368365...463717321235 .24.1656..117962..15760838...1357879302..225885684501.23104690637116 .35.3758..459193.110599613..17350066110.5291794810655 .54.9630.2147788.945852472.272318368893 LINKS R. H. Hardin, Table of n, a(n) for n = 1..111 FORMULA Empirical for column k: k=1: a(n) = a(n-2) +2*a(n-3) k=2: [order 15] Empirical for row n: n=1: a(n) = 2*a(n-2) n=2: a(n) = 12*a(n-2) -24*a(n-4) +31*a(n-6) -16*a(n-8) n=3: [order 48] for n>51 EXAMPLE Some solutions for n=4 k=4 ..3..1..3..3....3..3..1..1....3..1..3..3....3..1..3..1....3..1..3..1 ..3..1..3..2....3..2..1..2....3..1..0..0....3..2..0..1....2..2..2..0 ..3..1..3..2....2..0..2..2....2..2..2..0....3..2..3..2....2..0..0..1 ..2..2..2..0....3..1..0..0....3..1..0..0....2..2..3..3....3..3..0..2 CROSSREFS Column 1 is A159288 Row 1 is A016116 Sequence in context: A054271 A278245 A321026 * A344897 A011202 A085484 Adjacent sequences: A240281 A240282 A240283 * A240285 A240286 A240287 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 03 2014 STATUS approved

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Last modified February 21 01:19 EST 2024. Contains 370219 sequences. (Running on oeis4.)