A181004 T(n,k) = number of n X k binary matrices with rows and columns each in strictly increasing order as binary numbers and each row and column having an even number of 1's.

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 1, 61, 61, 1, 0, 0, 0, 0, 0, 0, 1, 123, 632, 123, 1, 0, 0, 0, 0, 0, 0, 0, 199, 3686, 3686, 199, 0, 0, 0, 0, 0, 0, 0, 0, 214, 16675, 58741, 16675, 214, 0, 0, 0

Offset

1,25

Comments

Table starts

.1.0.0.0...0......0.........0...........0..............0................0

.0.0.0.0...0......0.........0...........0..............0................0

.0.0.1.1...0......0.........0...........0..............0................0

.0.0.1.3...2......0.........1...........1..............0................0

.0.0.0.2..21.....61.......123.........199............214..............168

.0.0.0.0..61....632......3686.......16675..........59805...........175257

.0.0.0.1.123...3686.....58741......652374........5752742.........41985610

.0.0.0.1.199..16675....652374....16972746......338047350.......5565513638

.0.0.0.0.214..59805...5752742...338047350....14821714373.....527266113211

.0.0.0.0.168.175257..41985610..5565513638...527266113211...39880712826780

.0.0.0.0.127.434224.262890863.78452652352.15996779979401.2545622222227666

Links

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

Crossrefs

Sequence in context: A348945 A151755 A325739 * A051344 A236534 A101856

Adjacent sequences: A181001 A181002 A181003 * A181005 A181006 A181007

Keyword

nonn,tabl

Author

R. H. Hardin, Sep 30 2010

Status

approved