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 A302309 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 13
 1, 2, 2, 3, 3, 4, 5, 11, 6, 8, 8, 21, 13, 10, 16, 13, 31, 26, 33, 21, 32, 21, 113, 48, 66, 58, 42, 64, 34, 363, 121, 194, 153, 153, 86, 128, 55, 813, 275, 663, 445, 380, 336, 179, 256, 89, 1751, 600, 2048, 1595, 1271, 1090, 937, 370, 512, 144, 5001, 1296, 5790, 4772, 5715 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1...2....3....5.....8.....13......21.......34........55.........89 ...2...3...11...21....31....113.....363......813......1751.......5001 ...4...6...13...26....48....121.....275......600......1296.......2998 ...8..10...33...66...194....663....2048.....5790.....17761......58980 ..16..21...58..153...445...1595....4772....15249.....49634.....166329 ..32..42..153..380..1271...5715...18992....70289....276303....1198933 ..64..86..336.1090..3915..18990...76642...360898...1695748....9408402 .128.179..937.3120.12420..73663..364922..2150420..13123505...95790405 .256.370.2449.9130.42897.312122.1991487.15392485.124691962.1235540899 LINKS R. H. Hardin, Table of n, a(n) for n = 1..220 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 2*a(n-1) +a(n-2) -a(n-3) -2*a(n-4) +a(n-5) k=3: [order 13] for n>16 k=4: [order 60] for n>61 Empirical for row n: n=1: a(n) = a(n-1) +a(n-2) n=2: a(n) = 2*a(n-1) -a(n-2) +4*a(n-3) +12*a(n-4) -16*a(n-5) for n>6 n=3: [order 15] for n>16 n=4: [order 61] for n>64 EXAMPLE Some solutions for n=5 k=4 ..0..1..0..1. .0..0..0..1. .0..1..0..1. .0..1..0..1. .0..1..0..1 ..0..1..0..0. .0..1..0..1. .0..1..1..1. .0..1..0..1. .0..1..0..1 ..0..1..0..1. .0..1..0..1. .0..0..0..0. .1..0..0..1. .1..1..0..0 ..0..1..0..1. .0..1..0..1. .1..1..1..0. .1..0..1..0. .0..1..0..1 ..0..1..1..1. .0..1..1..1. .1..0..1..0. .1..0..1..0. .0..1..0..1 CROSSREFS Column 1 is A000079(n-1). Column 2 is A240513. Row 1 is A000045(n+1). Sequence in context: A302427 A303197 A059185 * A303040 A302877 A303525 Adjacent sequences:  A302306 A302307 A302308 * A302310 A302311 A302312 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 05 2018 STATUS approved

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Last modified January 27 09:09 EST 2020. Contains 331293 sequences. (Running on oeis4.)