A058053 - OEIS

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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, 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^ny^n in expansion of 1 / 3!(1 / (1 - x) / (1 - xy)^3 / (1 - xy^2)^3 / (1 - xy^3) + 3 / (1 - x) / (1 - xy) / (1 - xy^2) / (1 - xy^3) / (1 - x^2y^2) / (1 - x^2y^4) + 2 / (1 - x) / (1 - xy^3) / (1 - x^3y^3) / (1 - x^3y^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 August 17 08:02 EDT 2022. Contains 356184 sequences. (Running on oeis4.)