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 A320364 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 7
 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 4, 2, 0, 0, 5, 13, 13, 5, 0, 0, 16, 60, 97, 60, 16, 0, 0, 45, 258, 657, 657, 258, 45, 0, 0, 123, 1111, 4563, 7902, 4563, 1111, 123, 0, 0, 340, 4836, 32371, 91711, 91711, 32371, 4836, 340, 0, 0, 946, 21007, 228784, 1076811, 1752652, 1076811 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,12 COMMENTS Table starts .0...0.....0.......0.........0...........0.............0..............0 .0...1.....1.......2.........5..........16............45............123 .0...1.....4......13........60.........258..........1111...........4836 .0...2....13......97.......657........4563.........32371.........228784 .0...5....60.....657......7902.......91711.......1076811.......12633183 .0..16...258....4563.....91711.....1752652......33825987......653183942 .0..45..1111...32371...1076811....33825987....1076542482....34268936133 .0.123..4836..228784..12633183...653183942...34268936133..1799446075386 .0.340.21007.1612859.148082443.12600432002.1089237599640.94302533172340 LINKS R. H. Hardin, Table of n, a(n) for n = 1..198 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 2*a(n-1) +a(n-2) +2*a(n-3) +3*a(n-4) +a(n-5) for n>6 k=3: [order 18] for n>20 k=4: [order 56] for n>58 EXAMPLE Some solutions for n=5 k=4 ..0..1..0..1. .0..1..1..0. .0..1..0..1. .0..1..0..1. .0..1..0..1 ..1..0..0..0. .1..0..0..1. .1..0..0..0. .1..1..0..1. .1..0..0..1 ..0..1..0..1. .1..0..0..0. .0..1..1..0. .0..1..0..0. .0..1..1..0 ..0..0..0..1. .1..0..1..0. .0..1..0..1. .1..0..0..1. .1..1..1..0 ..1..0..1..0. .1..0..0..1. .1..0..1..0. .1..0..1..0. .0..0..0..1 CROSSREFS Column 2 is A317890. Sequence in context: A058672 A278215 A317896 * A318222 A209466 A277659 Adjacent sequences: A320361 A320362 A320363 * A320365 A320366 A320367 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Oct 11 2018 STATUS approved

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Last modified September 27 01:46 EDT 2023. Contains 365669 sequences. (Running on oeis4.)