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 A269194 T(n,k)=Number of nXk 0..3 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling three no more than once. 8
 4, 16, 16, 60, 108, 60, 216, 708, 708, 216, 756, 4476, 9284, 4476, 756, 2592, 27684, 115452, 115452, 27684, 2592, 8748, 168252, 1399612, 2817548, 1399612, 168252, 8748, 29160, 1008804, 16629436, 67134380, 67134380, 16629436, 1008804, 29160 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ......4........16...........60.............216................756 .....16.......108..........708............4476..............27684 .....60.......708.........9284..........115452............1399612 ....216......4476.......115452.........2817548...........67134380 ....756.....27684......1399612........67134380.........3159954052 ...2592....168252.....16629436......1567933676.......145995171708 ...8748...1008804....194596516.....36068275268......6648192704604 ..29160...5983164...2249848972....819789099172....299224791093196 ..96228..35170980..25758552060..18452018423420..13339889117822420 .314928.205214268.292530733516.411983259384452.590022908205332548 LINKS R. H. Hardin, Table of n, a(n) for n = 1..219 FORMULA Empirical for column k: k=1: a(n) = 6*a(n-1) -9*a(n-2) k=2: a(n) = 10*a(n-1) -21*a(n-2) -20*a(n-3) -4*a(n-4) for n>5 k=3: [order 8] for n>9 k=4: [order 16] for n>17 k=5: [order 40] for n>41 EXAMPLE Some solutions for n=3 k=4 ..0..1..1..3. .0..0..2..2. .2..3..1..3. .1..3..1..1. .2..3..2..1 ..0..1..3..1. .2..0..0..2. .2..3..1..3. .1..1..1..3. .2..2..3..3 ..1..3..1..1. .2..0..2..0. .3..3..1..0. .0..3..1..3. .3..2..3..2 CROSSREFS Column 1 is A120926(n+1). Sequence in context: A207283 A207479 A207535 * A269143 A269109 A269201 Adjacent sequences:  A269191 A269192 A269193 * A269195 A269196 A269197 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 20 2016 STATUS approved

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Last modified April 15 02:27 EDT 2021. Contains 342974 sequences. (Running on oeis4.)