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A204197 T(n,k) = Number of n X k 0..1 arrays with no occurence 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

R. H. Hardin, Table of n, a(n) for n = 1..576

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

Adjacent sequences:  A204194 A204195 A204196 * A204198 A204199 A204200

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 12 2012

STATUS

approved

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Last modified September 17 04:03 EDT 2019. Contains 327119 sequences. (Running on oeis4.)