

A203975


T(n,k)=Number of nXk 0..2 arrays with every 1 immediately preceded by 0 to the left or above, and every 2 immediately preceded by 0 1 to the left or above


8



1, 2, 2, 4, 7, 4, 7, 29, 29, 7, 13, 106, 258, 106, 13, 24, 396, 2061, 2061, 396, 24, 44, 1488, 16723, 34799, 16723, 1488, 44, 81, 5569, 136243, 601521, 601521, 136243, 5569, 81, 149, 20859, 1107082, 10443081, 22100882, 10443081, 1107082, 20859, 149, 274
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OFFSET

1,2


COMMENTS

Table starts
..1.....2.......4..........7............13..............24.................44
..2.....7......29........106...........396............1488...............5569
..4....29.....258.......2061.........16723..........136243............1107082
..7...106....2061......34799........601521........10443081..........180623180
.13...396...16723.....601521......22100882.......817293052........30104480870
.24..1488..136243...10443081.....817293052.....64449537503......5061444598545
.44..5569.1107082..180623180...30104480870...5061444598545....847220834970347
.81.20859.9001543.3127443494.1109867821460.397834775050740.141937054743243405


LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220


EXAMPLE

Some solutions for n=5 k=3
..0..0..1....0..1..0....0..0..0....0..1..2....0..0..0....0..0..0....0..0..0
..1..1..0....0..1..1....1..1..1....1..0..1....0..1..0....0..0..1....0..1..0
..0..2..0....0..0..0....0..1..0....0..0..0....0..1..0....0..1..2....0..0..1
..0..0..0....0..1..1....0..1..2....1..0..1....0..0..1....1..0..1....1..1..2
..0..1..0....1..2..2....0..1..0....2..0..0....1..0..1....2..0..0....2..0..0


CROSSREFS

Column 1 is A000073(n+2)
Sequence in context: A115754 A210600 A220308 * A208269 A184761 A162251
Adjacent sequences: A203972 A203973 A203974 * A203976 A203977 A203978


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Jan 08 2012


STATUS

approved



