This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A269214 T(n,k)=Number of nXk 0..3 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling three exactly once. 13
 0, 4, 0, 24, 96, 0, 108, 768, 1152, 0, 432, 6528, 18048, 11424, 0, 1620, 49536, 308544, 361728, 103488, 0, 5832, 360960, 4744704, 12548544, 6712704, 889056, 0, 20412, 2546304, 70371048, 394072704, 474091776, 118872576, 7375872, 0, 69984, 17563392 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts .0........4..........24............108...............432................1620 .0.......96.........768...........6528.............49536..............360960 .0.....1152.......18048.........308544...........4744704............70371048 .0....11424......361728.......12548544.........394072704.........11985002256 .0...103488.....6712704......474091776.......30541426560.......1910809190712 .0...889056...118872576....17118725376.....2267772823680.....292321215814512 .0..7375872..2039727744...599456856000...163535201141376...43468685827935816 .0.59698464.34214296320.20531285093184.11544796423498368.6331185189881558208 LINKS R. H. Hardin, Table of n, a(n) for n = 1..161 FORMULA Empirical for column k: k=1: a(n) = 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..3..2. .2..2..2..3. .0..1..0..2. .0..0..0..2. .2..2..0..0 ..0..2..0..2. .0..0..1..0. .1..1..3..0. .0..1..2..0. .0..0..2..3 ..2..1..0..1. .0..1..0..1. .0..1..0..2. .0..0..0..0. .0..0..1..3 CROSSREFS Column 2 is A269091. Row 1 is A120908. Sequence in context: A243270 A242027 A057402 * A269276 A172394 A172395 Adjacent sequences:  A269211 A269212 A269213 * A269215 A269216 A269217 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Feb 20 2016 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 17 08:40 EDT 2019. Contains 325097 sequences. (Running on oeis4.)