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 A240039 T(n,k)=Number of nXk 0..2 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, modulo 3 7
 2, 2, 2, 4, 2, 4, 4, 6, 6, 4, 8, 4, 16, 4, 8, 8, 10, 16, 16, 10, 8, 16, 8, 42, 18, 42, 8, 16, 16, 20, 44, 52, 52, 44, 20, 16, 32, 16, 114, 62, 154, 62, 114, 16, 32, 32, 40, 122, 162, 178, 178, 162, 122, 40, 32, 64, 32, 314, 204, 494, 282, 494, 204, 314, 32, 64, 64, 80, 340, 530, 600 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2..2...4...4....8....8....16....16....32.....32.....64.....64.....128.....128 ..2..2...6...4...10....8....20....16....40.....32.....80.....64.....160.....128 ..4..6..16..16...42...44...114...122...314....340....872....950....2432....2658 ..4..4..16..18...52...62...162...204...530....672...1736...2198....5706....7202 ..8.10..42..52..154..178...494...600..1606...2014...5262...6690...17464...22360 ..8..8..44..62..178..282...710..1074..2770...4162..10836..15764...41374...59680 .16.20.114.162..494..710..1976..2884..7958..12074..31824..49078..130758..197208 .16.16.122.204..600.1074..2884..5706.14686..25224..66774.113794..307698..508002 .32.40.314.530.1606.2770..7958.14686.42470..72446.200916.360716..984770.1730698 .32.32.340.672.2014.4162.12074.25224.72446.147092.407954.778294.2194512.4046228 LINKS R. H. Hardin, Table of n, a(n) for n = 1..511 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-2) k=2: a(n) = 2*a(n-2) for n>5 k=3: a(n) = 4*a(n-2) -3*a(n-4) -a(n-6) for n>7 k=4: [order 24] for n>27 k=5: [order 86] for n>89 EXAMPLE Some solutions for n=3 k=4 ..2..1..1..2....2..1..2..1....2..1..2..1....1..2..1..2....1..2..1..2 ..1..0..0..0....1..0..0..0....1..0..0..0....2..0..0..0....2..0..0..0 ..1..0..0..0....1..0..0..0....2..0..0..0....2..0..0..0....2..0..0..1 CROSSREFS Column 1 is A016116(n+1) Column 2 is A163888(n-2) for n>3 Sequence in context: A220498 A330772 A105681 * A130127 A217982 A184727 Adjacent sequences:  A240036 A240037 A240038 * A240040 A240041 A240042 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 31 2014 STATUS approved

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Last modified May 27 08:12 EDT 2022. Contains 354096 sequences. (Running on oeis4.)