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 A269201 T(n,k)=Number of nXk 0..3 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling three no more than once. 13
 4, 16, 16, 60, 180, 64, 216, 1284, 1740, 256, 756, 9612, 25572, 15540, 1024, 2592, 68052, 400428, 471492, 132300, 4096, 8748, 472044, 5877228, 15289548, 8314020, 1090740, 16384, 29160, 3212820, 84310620, 463790340, 555862380, 142233732 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .......4.........16.............60...............216..................756 ......16........180...........1284..............9612................68052 ......64.......1740..........25572............400428..............5877228 .....256......15540.........471492..........15289548............463790340 ....1024.....132300........8314020.........555862380..........34838403756 ....4096....1090740......142233732.......19558138380........2532677348772 ...16384....8787660.....2380537188......672230393004......179867149105740 ...65536...69580980....39186271044....22702294138188....12551707872624132 ..262144..543538380...636703584804...756261535626732...864008559706781292 .1048576.4200069300.10237337586180.24917784636315276.58827234014669683044 LINKS R. H. Hardin, Table of n, a(n) for n = 1..161 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) k=2: a(n) = 14*a(n-1) -49*a(n-2) for n>3 k=3: a(n) = 30*a(n-1) -237*a(n-2) +180*a(n-3) -36*a(n-4) for n>5 k=4: [order 6] for n>7 k=5: [order 20] for n>21 k=6: [order 42] for n>43 Empirical for row n: n=1: a(n) = 6*a(n-1) -9*a(n-2) n=2: a(n) = 10*a(n-1) -13*a(n-2) -60*a(n-3) -36*a(n-4) n=3: [order 8] n=4: [order 20] n=5: [order 52] for n>53 EXAMPLE Some solutions for n=3 k=4 ..2..2..0..0. .2..2..1..1. .2..0..0..1. .0..0..2..2. .2..2..2..2 ..1..0..0..2. .2..0..0..0. .0..2..0..2. .2..2..2..2. .0..0..0..1 ..2..0..2..0. .1..0..0..0. .1..0..2..0. .1..0..0..2. .1..1..1..1 CROSSREFS Column 1 is A000302. Column 2 is A269103. Row 1 is A120926(n+1). Sequence in context: A269194 A269143 A269109 * A269289 A267933 A206974 Adjacent sequences: A269198 A269199 A269200 * A269202 A269203 A269204 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 20 2016 STATUS approved

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Last modified September 22 05:34 EDT 2023. Contains 365514 sequences. (Running on oeis4.)