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 A299052 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. 7
 1, 2, 2, 3, 4, 3, 5, 4, 4, 5, 8, 16, 11, 16, 8, 13, 50, 40, 40, 50, 13, 21, 112, 79, 455, 79, 112, 21, 34, 348, 480, 1650, 1650, 480, 348, 34, 55, 1028, 1542, 10706, 9994, 10706, 1542, 1028, 55, 89, 2796, 5317, 76068, 82340, 82340, 76068, 5317, 2796, 89, 144, 8216 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ..1....2.....3.......5........8.........13...........21.............34 ..2....4.....4......16.......50........112..........348...........1028 ..3....4....11......40.......79........480.........1542...........5317 ..5...16....40.....455.....1650......10706........76068.........445597 ..8...50....79....1650.....9994......82340.......953445........8956381 .13..112...480...10706....82340....1731008.....29176924......456270494 .21..348..1542...76068...953445...29176924....888675946....23405238642 .34.1028..5317..445597..8956381..456270494..23405238642..1063108306477 .55.2796.22571.2902533.86708195.8295241404.693920505214.53324500523781 LINKS R. H. Hardin, Table of n, a(n) for n = 1..180 FORMULA Empirical for column k: k=1: a(n) = a(n-1) +a(n-2) k=2: a(n) = 2*a(n-1) +2*a(n-2) +6*a(n-3) -10*a(n-4) -8*a(n-5) for n>6 k=3: [order 17] for n>18 k=4: [order 55] for n>58 EXAMPLE Some solutions for n=5 k=4 ..0..0..1..0. .0..0..1..0. .0..1..0..0. .0..1..0..0. .0..0..1..0 ..0..0..1..0. .0..0..0..1. .1..0..0..0. .1..0..0..0. .0..0..0..1 ..0..0..1..1. .0..1..1..1. .1..1..0..0. .1..1..0..0. .1..1..0..0 ..0..1..1..0. .0..0..0..1. .1..1..1..0. .1..1..0..1. .1..1..0..0 ..0..1..1..0. .1..0..0..1. .0..1..0..1. .0..1..1..0. .0..1..1..1 CROSSREFS Column 1 is A000045(n+1). Column 2 is A298148. Sequence in context: A298154 A299128 A299886 * A299814 A299689 A300321 Adjacent sequences: A299049 A299050 A299051 * A299053 A299054 A299055 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 01 2018 STATUS approved

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Last modified December 10 14:14 EST 2023. Contains 367710 sequences. (Running on oeis4.)