editing

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T(n,k)=) = number of n X nXkk binary matrices with rows and columns each in strictly increasing order as binary numbers and each row and column having an even number of 1s1's.

_R. H. Hardin_ _, Sep 30 2010

approved

editing

_R. H. Hardin (rhhardin(AT)att.net) _ Sep 30 2010

OEIS Server: https://oeis.org/edit/global/875

R. H. Hardin, <a href="="/A181004/b181004.txt">Table of n, a(n) for n=1..220</a>

nonn,tabl,new

T(n,k)=number of nXk binary matrices with rows and columns each in strictly increasing order as binary numbers and each row and column having an even number of 1s

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

1,25

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

R. H. Hardin, <a href="b181004.txt">Table of n, a(n) for n=1..220</a>

nonn,tabl,new

R. H. Hardin (rhhardin(AT)att.net) Sep 30 2010

approved