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A225982 T(n,k)=Number of nXk binary arrays whose sum with another nXk binary array containing no more than two 1s has rows and columns in lexicographically nondecreasing order 7
2, 4, 4, 8, 15, 8, 15, 48, 48, 15, 26, 138, 252, 138, 26, 42, 350, 1178, 1178, 350, 42, 64, 790, 4722, 9113, 4722, 790, 64, 93, 1616, 16361, 61808, 61808, 16361, 1616, 93, 130, 3049, 49811, 361361, 737893, 361361, 49811, 3049, 130, 176, 5384, 135672, 1825607 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...2....4......8........15..........26............42.............64

...4...15.....48.......138.........350...........790...........1616

...8...48....252......1178........4722.........16361..........49811

..15..138...1178......9113.......61808........361361........1825607

..26..350...4722.....61808......737893.......7718077.......69784592

..42..790..16361....361361.....7718077.....148890101.....2513743785

..64.1616..49811...1825607....69784592....2513743785....80901937149

..93.3049.135672...8065278...546720823...36836074434..2279339811483

.130.5384.336189..31631401..3748375290..470279869497.56056577764123

.176.9001.768900.111785599.22776885553.5279223820491

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..127

FORMULA

Empirical: columns k=1..5 are polynomials in n of degree 2^k+1 for n>0,0,1,2,2

EXAMPLE

Some solutions for n=3 k=4

..0..0..1..1....0..0..1..1....0..1..1..0....1..1..1..1....0..0..1..1

..1..1..1..1....1..1..0..0....0..1..1..0....1..1..1..1....0..0..0..1

..1..0..0..1....0..0..0..1....1..0..0..0....1..0..1..0....1..1..1..1

CROSSREFS

Column 1 is A000125

Sequence in context: A181245 A216950 A240364 * A282528 A297094 A283282

Adjacent sequences:  A225979 A225980 A225981 * A225983 A225984 A225985

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin May 22 2013

STATUS

approved

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Last modified September 25 06:32 EDT 2020. Contains 337335 sequences. (Running on oeis4.)