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 A269152 T(n,k)=Number of nXk 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three exactly once. 8
 0, 4, 4, 24, 80, 24, 108, 768, 768, 108, 432, 6224, 13904, 6224, 432, 1620, 46464, 220968, 220968, 46464, 1620, 5832, 330192, 3277728, 7002040, 3277728, 330192, 5832, 20412, 2270592, 46576336, 208984848, 208984848, 46576336, 2270592, 20412 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ......0.........4............24..............108.................432 ......4........80...........768.............6224...............46464 .....24.......768.........13904...........220968.............3277728 ....108......6224........220968..........7002040...........208984848 ....432.....46464.......3277728........208984848.........12637025328 ...1620....330192......46576336.......6004186984........738478504448 ...5832...2270592.....642676704.....167970539096......42119837369168 ..20412..15251152....8680278136....4607603633440....2359047063894464 ..69984.100647168..115349343264..124496158984840..130272136732736736 .236196.655139152.1513379596864.3323815506994632.7113223023541150960 LINKS R. H. Hardin, Table of n, a(n) for n = 1..220 FORMULA Empirical for column k: k=1: a(n) = 6*a(n-1) -9*a(n-2) k=2: a(n) = 12*a(n-1) -38*a(n-2) +12*a(n-3) -a(n-4) for n>5 k=3: [order 8] for n>9 k=4: [order 20] for n>22 k=5: [order 42] for n>45 EXAMPLE Some solutions for n=3 k=4 ..2..2..3..1. .0..2..2..2. .2..0..1..1. .0..3..3..1. .2..2..3..3 ..3..2..3..3. .3..3..3..2. .2..0..1..0. .1..1..3..1. .3..3..1..2 ..0..2..3..3. .3..2..2..2. .1..0..0..2. .3..3..3..1. .2..3..3..3 CROSSREFS Column 1 is A120908. Sequence in context: A269186 A058166 A092897 * A269097 A307552 A171633 Adjacent sequences:  A269149 A269150 A269151 * A269153 A269154 A269155 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 20 2016 STATUS approved

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Last modified December 5 10:15 EST 2020. Contains 338945 sequences. (Running on oeis4.)