A084447 - OEIS

A084447

Number of triangular partitions of n of order 5.

1, 5, 15, 39, 90, 189, 375, 707, 1276, 2226, 3768, 6210, 10002, 15780, 24432, 37198, 55772, 82443, 120300, 173445, 247284, 348916, 487555, 675088, 926784, 1262091, 1705644, 2288518, 3049654, 4037611, 5312713, 6949490, 9039627, 11695524, 15054338, 19282807

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OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

G. Almkvist, Asymptotic formulas and generalized Dedekind sums, Exper. Math., 7 (No. 4, 1998), pp. 343-359.

FORMULA

G.f.: 1/((1-x)^5*(1-x^3)^4*(1-x^5)^3*(1-x^7)^2*(1-x^9)).

MATHEMATICA

CoefficientList[Series[1/((1 - x)^5 (1 - x^3)^4 (1 - x^5)^3 (1 - x^7)^2 (1 - x^9)), {x, 0, 50}], x] (* Vincenzo Librandi, Aug 29 2016 *)

PROG

(PARI) Vec( 1/((1-x)^5*(1-x^3)^4*(1-x^5)^3*(1-x^7)^2*(1-x^9)) + O(x^50)) \\ Michel Marcus, Dec 08 2014

(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)^5*(1-x^3)^4*(1-x^5)^3*(1-x^7)^2*(1-x^9)))); // Vincenzo Librandi, Aug 29 2016

CROSSREFS

Cf. A001840, A084439, A084446.

Sequence in context: A014316 A075717 A062487 * A357290 A099035 A262295

Adjacent sequences: A084444 A084445 A084446 * A084448 A084449 A084450

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jun 27 2003

STATUS

approved