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 A269035 T(n,k)=Number of nXk 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once. 13
 0, 3, 0, 12, 24, 0, 36, 48, 120, 0, 96, 216, 348, 504, 0, 240, 672, 2166, 2136, 1944, 0, 576, 2208, 9528, 18384, 12228, 7128, 0, 1344, 6912, 44760, 115656, 146064, 67104, 25272, 0, 3072, 21408, 198816, 785124, 1326576, 1114848, 357756, 87480, 0, 6912, 65280 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .0......3.......12.........36...........96............240.............576 .0.....24.......48........216..........672...........2208............6912 .0....120......348.......2166.........9528..........44760..........198816 .0....504.....2136......18384.......115656.........785124.........4998648 .0...1944....12228.....146064......1326576.......13031664.......119790816 .0...7128....67104....1114848.....14710368......208867428......2783857776 .0..25272...357756....8277072....159397596.....3266423688.....63310818360 .0..87480..1867560...60218112...1698064656....50155587360...1416701634552 .0.297432..9593844..431354928..17853542544...759280601376..31304407671636 .0.997272.48665904.3052215072.185754411168.11364951702132.684763778434512 LINKS R. H. Hardin, Table of n, a(n) for n = 1..337 FORMULA Empirical for column k: k=1: a(n) = a(n-1) k=2: a(n) = 6*a(n-1) -9*a(n-2) for n>3 k=3: a(n) = 10*a(n-1) -29*a(n-2) +20*a(n-3) -4*a(n-4) for n>5 k=4: a(n) = 14*a(n-1) -57*a(n-2) +56*a(n-3) -16*a(n-4) for n>5 k=5: [order 12] for n>13 k=6: [order 18] for n>19 k=7: [order 38] for n>39 Empirical for row n: n=1: a(n) = 4*a(n-1) -4*a(n-2) n=2: a(n) = 4*a(n-1) -8*a(n-3) -4*a(n-4) n=3: a(n) = 6*a(n-1) -a(n-2) -28*a(n-3) -4*a(n-4) +16*a(n-5) -4*a(n-6) for n>8 n=4: [order 12] for n>14 n=5: [order 20] for n>22 n=6: [order 46] for n>48 n=7: [order 92] for n>94 EXAMPLE Some solutions for n=4 k=4 ..2..1..0..0. .0..0..1..0. .0..1..0..1. .2..0..0..1. .2..2..2..1 ..0..1..0..0. .0..1..0..0. .0..0..0..1. .0..1..0..1. .1..2..2..2 ..2..1..0..1. .0..1..0..0. .2..1..0..1. .2..1..0..1. .2..2..2..2 ..0..0..0..0. .0..1..0..1. .0..1..0..1. .0..1..0..0. .1..1..2..2 CROSSREFS Column 2 is A268633. Row 1 is A167667(n-1). Sequence in context: A269880 A135687 A057374 * A268904 A058896 A186748 Adjacent sequences: A269032 A269033 A269034 * A269036 A269037 A269038 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 18 2016 STATUS approved

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Last modified August 10 00:01 EDT 2024. Contains 375044 sequences. (Running on oeis4.)