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A089934 Table T(n,k) of the number of n X k matrices on {0,1} without adjacent 0's in any row or column. 7
2, 3, 3, 5, 7, 5, 8, 17, 17, 8, 13, 41, 63, 41, 13, 21, 99, 227, 227, 99, 21, 34, 239, 827, 1234, 827, 239, 34, 55, 577, 2999, 6743, 6743, 2999, 577, 55, 89, 1393, 10897, 36787, 55447, 36787, 10897, 1393, 89, 144, 3363, 39561, 200798, 454385, 454385, 200798 (list; table; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Rows (or columns) 1 through 7 are A000045, A001333, A051736, A051737, A089936, A089937, A089938. Recurrence orders are A089935. Diagonal is A006506. n X 1/1 X n patterns interpreted as binary values is A003714.

EXAMPLE

a(2,2)=7:

11 11 11 10 10 01 01

11 10 01 11 01 11 10

CROSSREFS

T(n, 0) = T(0, m) = 1. Zero based table is A089980

Cf. A000045, A001333, A051736, A051737, A089936, A089937, A089938, A089935, A006506, A003714.

Sequence in context: A066072 A180611 A084127 * A113460 A113470 A086786

Adjacent sequences:  A089931 A089932 A089933 * A089935 A089936 A089937

KEYWORD

nonn,tabl

AUTHOR

Marc LeBrun (mlb(AT)well.com), Nov 15 2003

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Last modified February 15 03:11 EST 2012. Contains 205694 sequences.