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 A240433 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 two plus the sum of the elements diagonally to its northwest, modulo 4 6
 2, 2, 2, 4, 6, 4, 4, 24, 24, 4, 8, 58, 206, 58, 8, 8, 236, 970, 970, 236, 8, 16, 566, 8084, 9036, 8084, 566, 16, 16, 2322, 38406, 150350, 150350, 38406, 2322, 16, 32, 5578, 319164, 1404008, 5087802, 1404008, 319164, 5578, 32, 32, 22912, 1514122, 23414762 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2.....2........4...........4..............8...............8...............16 ..2.....6.......24..........58............236.............566.............2322 ..4....24......206.........970...........8084...........38406...........319164 ..4....58......970........9036.........150350.........1404008.........23414762 ..8...236.....8084......150350........5087802........94860720.......3184383016 ..8...566....38406.....1404008.......94860720......3523795084.....237034323164 .16..2322...319164....23414762.....3184383016....237034323164...32020507274002 .16..5578..1514122...218412550....59125702284...8779074387924.2372829502697230 .32.22912.12567490..3639548326..1979684295626.589446737374098 .32.55054.59600672.33928317272.36705060609854 LINKS R. H. Hardin, Table of n, a(n) for n = 1..111 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-2) k=2: a(n) = 12*a(n-2) -24*a(n-4) +31*a(n-6) -16*a(n-8) k=3: [order 48] EXAMPLE Some solutions for n=4 k=4 ..3..1..1..3....1..3..3..1....1..3..3..1....1..3..3..1....1..3..3..1 ..1..2..2..2....3..2..2..0....3..2..2..0....3..2..2..0....3..0..2..2 ..1..2..1..3....1..0..0..0....3..0..0..0....3..2..0..2....3..0..2..0 ..3..2..3..2....3..2..0..3....1..2..2..0....1..0..2..0....1..0..2..0 CROSSREFS Column 1 is A016116(n+1) Sequence in context: A152968 A222177 A342271 * A217637 A231515 A231544 Adjacent sequences:  A240430 A240431 A240432 * A240434 A240435 A240436 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 04 2014 STATUS approved

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Last modified September 20 10:51 EDT 2021. Contains 347584 sequences. (Running on oeis4.)