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A084446 Number of triangular partitions of n of order 4. 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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 27 11:27 EDT 2021. Contains 348276 sequences. (Running on oeis4.)