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 A298396 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero. 7
 0, 1, 1, 1, 3, 1, 2, 7, 7, 2, 3, 13, 15, 13, 3, 5, 23, 29, 29, 23, 5, 8, 49, 63, 112, 63, 49, 8, 13, 99, 167, 432, 432, 167, 99, 13, 21, 189, 473, 1915, 2231, 1915, 473, 189, 21, 34, 383, 1205, 7556, 13271, 13271, 7556, 1205, 383, 34, 55, 777, 3161, 29657, 81019, 117184 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts ..0...1....1......2.......3........5..........8..........13............21 ..1...3....7.....13......23.......49.........99.........189...........383 ..1...7...15.....29......63......167........473........1205..........3161 ..2..13...29....112.....432.....1915.......7556.......29657........123601 ..3..23...63....432....2231....13271......81019......454822.......2647771 ..5..49..167...1915...13271...117184....1142217.....9792821......87882289 ..8..99..473...7556...81019..1142217...16510708...212408711....2962142231 .13.189.1205..29657..454822..9792821..212408711..4149393799...87858962506 .21.383.3161.123601.2647771.87882289.2962142231.87858962506.2858791588717 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) -a(n-2) +4*a(n-3) -4*a(n-4) for n>5 k=3: [order 15] for n>17 k=4: [order 68] for n>71 EXAMPLE Some solutions for n=5 k=4 ..0..1..1..0. .0..0..1..0. .0..1..0..1. .0..0..0..1. .0..0..0..0 ..1..0..0..1. .1..1..0..1. .0..0..1..0. .1..1..1..0. .1..0..0..1 ..0..1..0..0. .0..0..0..1. .0..0..1..1. .0..1..1..1. .1..1..1..1 ..1..0..0..0. .1..0..0..1. .1..0..1..1. .0..1..0..0. .1..1..0..0 ..0..1..1..0. .1..0..1..0. .0..1..0..1. .1..0..1..1. .1..0..1..1 CROSSREFS Column 1 is A000045(n-1). Column 2 is A297953. Sequence in context: A298775 A298582 A299574 * A299514 A299314 A300115 Adjacent sequences: A298393 A298394 A298395 * A298397 A298398 A298399 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jan 18 2018 STATUS approved

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Last modified December 9 14:59 EST 2022. Contains 358700 sequences. (Running on oeis4.)