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 A303182 T(n,k) = Number of n X k 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 12
 1, 2, 2, 4, 8, 4, 8, 17, 25, 8, 16, 37, 31, 81, 16, 32, 78, 72, 135, 264, 32, 64, 169, 170, 297, 547, 857, 64, 128, 361, 382, 931, 1302, 1938, 2785, 128, 256, 778, 873, 2569, 5613, 5050, 6965, 9050, 256, 512, 1673, 2013, 6668, 24751, 29124, 20188, 25953, 29407, 512 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1.....2.....4......8......16........32.........64.........128..........256 ...2.....8....17.....37......78.......169........361.........778.........1673 ...4....25....31.....72.....170.......382........873........2013.........4618 ...8....81...135....297.....931......2569.......6668.......17934........48674 ..16...264...547...1302....5613.....24751......88153......325770......1253442 ..32...857..1938...5050...29124....218980....1064399.....5463686.....31140302 ..64..2785..6965..20188..148501...1803435...11901719....82524101....673749714 .128..9050.25953..81926..786247..15559135..141429948..1341217380..15951682785 .256.29407.95602.329957.4126586.133939941.1665576584.21624053966.375045359077 LINKS R. H. Hardin, Table of n, a(n) for n = 1..264 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1). k=2: a(n) = 3*a(n-1) +a(n-2) -2*a(n-4). k=3: [order 13]. k=4: [order 31] for n>33. k=5: [order 66] for n>73. Empirical for row n: n=1: a(n) = 2*a(n-1). n=2: a(n) = 3*a(n-1) +a(n-2) -6*a(n-3) -2*a(n-4) +4*a(n-5) for n>6. n=3: a(n) = 3*a(n-1) -2*a(n-2) +2*a(n-3) -3*a(n-4) +a(n-5) for n>9. n=4: [order 17] for n>22. n=5: [order 34] for n>40. n=6: [order 84] for n>90. EXAMPLE Some solutions for n=5, k=4 ..0..1..0..1. .0..0..1..0. .0..1..0..1. .0..1..0..1. .0..0..1..1 ..0..1..0..1. .0..1..1..0. .1..0..0..1. .0..0..0..1. .1..0..1..0 ..0..1..1..1. .0..1..0..0. .0..1..0..1. .0..1..1..1. .1..0..0..0 ..0..1..0..0. .0..1..0..1. .0..0..0..1. .0..1..0..1. .1..0..1..1 ..0..1..0..1. .0..1..0..0. .1..1..0..1. .0..1..0..0. .1..0..1..0 CROSSREFS Column 1 is A000079(n-1). Column 2 is A240478. Row 1 is A000079(n-1). Row 2 is A281470. Sequence in context: A281469 A302623 A302415 * A302322 A303016 A302820 Adjacent sequences: A303179 A303180 A303181 * A303183 A303184 A303185 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 19 2018 STATUS approved

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Last modified September 13 18:22 EDT 2024. Contains 375910 sequences. (Running on oeis4.)