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A204197 T(n,k) = Number of n X k 0..1 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..1 introduced in row major order. 7
1, 2, 2, 3, 8, 3, 5, 18, 18, 5, 8, 50, 33, 50, 8, 13, 128, 86, 86, 128, 13, 21, 338, 231, 265, 231, 338, 21, 34, 882, 639, 883, 883, 639, 882, 34, 55, 2312, 1724, 2974, 3716, 2974, 1724, 2312, 55, 89, 6050, 4697, 9940, 15780, 15780, 9940, 4697, 6050, 89, 144, 15842 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
..1....2....3.....5......8......13.......21........34.........55..........89
..2....8...18....50....128.....338......882......2312.......6050.......15842
..3...18...33....86....231.....639.....1724......4697......12763.......34668
..5...50...86...265....883....2974.....9940.....33462.....112470......377908
..8..128..231...883...3716...15780....67169....286470....1221769.....5217560
.13..338..639..2974..15780...85681...461894...2501104...13632039....74052393
.21..882.1724..9940..67169..461894..3162172..21906411..152100304..1053377463
.34.2312.4697.33462.286470.2501104.21906411.193490711.1711765962.15187321948
LINKS
EXAMPLE
Some solutions for n=5 k=3
..0..0..1....0..0..1....0..1..0....0..0..1....0..1..0....0..0..1....0..1..1
..1..0..0....0..1..0....1..1..0....1..0..0....1..0..1....0..1..1....0..1..1
..0..1..1....1..0..1....0..0..1....0..1..1....1..0..1....1..1..0....1..0..0
..0..1..0....1..0..1....0..1..0....1..1..0....0..1..0....0..0..1....1..0..1
..1..0..0....0..1..0....1..1..0....1..0..1....0..1..0....0..1..0....0..1..0
CROSSREFS
Column 1 is A000045(n+1).
Column 2 is A175395(n+1).
Sequence in context: A134574 A141617 A267644 * A238654 A220553 A176383
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 12 2012
STATUS
approved

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Last modified June 15 02:53 EDT 2024. Contains 373402 sequences. (Running on oeis4.)