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 A268971 T(n,k)=Number of nXk 0..2 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once. 14
 3, 9, 9, 24, 60, 27, 60, 240, 336, 81, 144, 912, 2016, 1728, 243, 336, 3312, 11664, 15552, 8448, 729, 768, 11664, 63792, 136080, 114048, 39936, 2187, 1728, 40176, 339480, 1125360, 1504656, 808704, 184320, 6561, 3840, 136080, 1770048, 9093528, 18852912 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....3........9.........24...........60............144..............336 .....9.......60........240..........912...........3312............11664 ....27......336.......2016........11664..........63792...........339480 ....81.....1728......15552.......136080........1125360..........9093528 ...243.....8448.....114048......1504656.......18852912........231730344 ...729....39936.....808704.....16061328......305242992.......5712070032 ..2187...184320....5598720....167226768.....4823705520.....137497776840 ..6561...835584...38071296...1709114256....74858700528....3251386055664 .19683..3735552..255301632..17218688400..1145496747312...75828095546544 .59049.16515072.1693052928.171498136464.17332683832944.1748970953035272 LINKS R. H. Hardin, Table of n, a(n) for n = 1..287 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) k=2: a(n) = 8*a(n-1) -16*a(n-2) k=3: a(n) = 12*a(n-1) -36*a(n-2) k=4: a(n) = 18*a(n-1) -81*a(n-2) for n>3 k=5: a(n) = 30*a(n-1) -261*a(n-2) +540*a(n-3) -324*a(n-4) k=6: a(n) = 50*a(n-1) -805*a(n-2) +4662*a(n-3) -12150*a(n-4) +14580*a(n-5) -6561*a(n-6) k=7: [order 8] Empirical for row n: n=1: a(n) = 4*a(n-1) -4*a(n-2) n=2: a(n) = 6*a(n-1) -9*a(n-2) for n>4 n=3: a(n) = 10*a(n-1) -29*a(n-2) +20*a(n-3) -4*a(n-4) for n>6 n=4: [order 6] for n>12 n=5: [order 14] for n>18 n=6: [order 18] for n>26 n=7: [order 54] for n>60 EXAMPLE Some solutions for n=4 k=4 ..1..0..0..1. .2..1..0..1. .2..1..2..1. .2..1..2..1. .1..2..1..2 ..1..2..2..2. .0..0..2..2. .0..1..2..1. .1..2..2..1. .1..0..0..0 ..2..2..2..2. .1..2..2..2. .2..1..0..0. .2..2..2..2. .1..0..1..2 ..2..2..1..2. .2..1..2..2. .1..0..0..1. .2..2..1..0. .1..2..2..1 CROSSREFS Column 1 is A000244. Row 1 is A084858. Sequence in context: A268809 A268628 A269052 * A267966 A263320 A226717 Adjacent sequences:  A268968 A268969 A268970 * A268972 A268973 A268974 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 16 2016 STATUS approved

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Last modified January 24 21:49 EST 2022. Contains 350565 sequences. (Running on oeis4.)