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 A240327 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 one plus the sum of the elements diagonally to its northwest, modulo 4 6
 2, 2, 2, 4, 5, 4, 6, 17, 17, 6, 8, 37, 116, 37, 8, 14, 80, 455, 455, 80, 14, 20, 213, 1677, 3374, 1677, 213, 20, 30, 443, 8091, 21455, 21455, 8091, 443, 30, 48, 1028, 28448, 189549, 247187, 189549, 28448, 1028, 48, 70, 2511, 117304, 1190246, 3898804 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2....2.......4.........6............8............14............20 ..2....5......17........37...........80...........213...........443 ..4...17.....116.......455.........1677..........8091.........28448 ..6...37.....455......3374........21455........189549.......1190246 ..8...80....1677.....21455.......247187.......3898804......43979526 .14..213....8091....189549......3898804.....113751796....2343565571 .20..443...28448...1190246.....43979526....2343565571...88562956949 .30.1028..117304...8903613....602874070...58754628922.4085612680937 .48.2511..513841..70945972...8649395684.1550370290554 .70.5370.1871262.460466581.101952716878 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 13] for n>14 EXAMPLE Some solutions for n=4 k=4 ..3..2..3..2....3..2..3..3....2..3..3..2....3..2..2..2....3..2..3..2 ..2..1..2..3....2..1..2..2....3..0..1..3....2..1..1..1....2..3..2..1 ..3..1..3..2....3..2..2..0....3..1..1..2....3..0..2..2....3..0..0..2 ..2..3..2..2....3..2..2..2....2..3..3..2....3..2..2..2....3..2..0..0 CROSSREFS Column 1 is A239851 Sequence in context: A151680 A231351 A024681 * A308771 A007495 A122385 Adjacent sequences: A240324 A240325 A240326 * A240328 A240329 A240330 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 03 2014 STATUS approved

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Last modified March 25 00:50 EDT 2023. Contains 361511 sequences. (Running on oeis4.)