A084439 - OEIS

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A084439

Number of triangular partitions of n of order 3.

1, 3, 6, 12, 21, 34, 54, 81, 117, 166, 229, 309, 411, 537, 691, 880, 1107, 1377, 1699, 2077, 2518, 3033, 3627, 4309, 5092, 5983, 6993, 8137, 9424, 10867, 12484, 14286, 16288, 18511, 20968, 23677, 26662, 29938, 33526, 37453, 41737, 46402, 51478, 56986, 62953, 69413 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`Row T(3,k) in the array of triangular partitions of k:` `1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,...` `1,2,3,5,7,9,12,15,18,22,26,30,35,40,45,51,57,63,70,...` `1,3,6,12,21,34,54,81,117,166,229,309,411,537,691,880,1107,1377,1699,..` `1,4,10,23,47,88,158,270,443,706,1094,1654,2450,3561,5087,7159,9936,13613,...` `1,5,15,39,90,189,375,707,1276,2226,3768,6210,10002,15780,24432,...` `1,6,21,61,156,361,781,1599,3124,5876,10696,18917,32627,55027,90948,...` `1,7,28,90,252,635,1484,3267,6841,13744,26652,50108,91687,163772,286258,...` `- R. J. Mathar, Oct 26 2011`
	LINKS	`G. Almkvist, Asymptotic formulas and generalized Dedekind sums, Exper. Math., 7 (No. 4, 1998), pp. 343-359.` `L. Carlitz, R. Scoville, A generating function for triangular partitions, Math. Comp. 29 (1975) 67-77`
	FORMULA	`G.f.: 1/((1-x)^3(1-x^3)^2(1-x^5)).`
	CROSSREFS	`Cf. A001840, A084446, A084447` `Sequence in context: A070333 A011779 A161809 * A034344 A203292 A054578` `Adjacent sequences: A084436 A084437 A084438 * A084440 A084441 A084442`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Jun 27 2003`

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Last modified February 15 18:22 EST 2012. Contains 205835 sequences.