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A058053 Number of 3-rowed binary matrices with n ones and no zero columns, up to row and column permutation. 1
1, 1, 3, 6, 11, 18, 33, 49, 78, 117, 171, 242, 346, 469, 640, 855, 1127, 1463, 1896, 2405, 3045, 3813, 4736, 5831, 7156, 8684, 10507, 12627, 15092, 17935, 21249, 25004, 29341, 34272, 39875, 46207, 53407, 61446, 70528, 80682, 92026, 104650, 118752 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Number of 3 x n binary matrices with n ones up to row and column permutation.

LINKS

Table of n, a(n) for n=0..42.

Vladeta Jovovic, Expansion of generating function.

FORMULA

a(n)= coefficient of x^n*y^n in expansion of 1 / 3!*(1 / (1 - x) / (1 - x*y)^3 / (1 - x*y^2)^3 / (1 - x*y^3) + 3 / (1 - x) / (1 - x*y) / (1 - x*y^2) / (1 - x*y^3) / (1 - x^2*y^2) / (1 - x^2*y^4) + 2 / (1 - x) / (1 - x*y^3) / (1 - x^3*y^3) / (1 - x^3*y^6)).

Empirical g.f.: -(x^8-x^7+x^6+x^4+x^2-x+1) / ((x-1)^7*(x+1)^3*(x^2-x+1)*(x^2+1)*(x^2+x+1)^3). - Colin Barker, Jul 11 2013

CROSSREFS

Cf. A002727, A049311.

Sequence in context: A053992 A052825 A003082 * A264923 A321381 A238903

Adjacent sequences:  A058050 A058051 A058052 * A058054 A058055 A058056

KEYWORD

nonn

AUTHOR

Vladeta Jovovic, Nov 19 2000

EXTENSIONS

a(21)-a(42) from Max Alekseyev, Jan 21 2010

STATUS

approved

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Last modified June 19 17:16 EDT 2019. Contains 324222 sequences. (Running on oeis4.)