A084446 Number of triangular partitions of n of order 4.

1, 4, 10, 23, 47, 88, 158, 270, 443, 706, 1094, 1654, 2450, 3561, 5087, 7159, 9936, 13613, 18437, 24702, 32764, 43060, 56103, 72505, 92999, 118439, 149828, 188346, 235356, 292437, 361424, 444417, 543822, 662405, 803304, 970085, 1166807, 1398040, 1668939

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)^4*(1-x^3)^3*(1-x^5)^2*(1-x^7)).

Mathematica

CoefficientList[Series[1/((1 - x)^4 (1-x^3)^3 (1-x^5)^2 (1 - x^7)), {x, 0, 40}], x] (* Vincenzo Librandi, Aug 29 2016 *)

Prog

(PARI) Vec(1/((1-x)^4*(1-x^3)^3*(1-x^5)^2*(1-x^7)) + O(x^50)) \\ Michel Marcus, Dec 08 2014
(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)^4*(1-x^3)^3*(1-x^5)^2*(1-x^7)))); // Vincenzo Librandi, Aug 29 2016

Crossrefs

Sequence in context: A002766 A305102 A008268 * A209815 A158671 A001980

Adjacent sequences: A084443 A084444 A084445 * A084447 A084448 A084449

Keyword

nonn

Author

N. J. A. Sloane, Jun 27 2003

Status

approved