A276236 - OEIS

A276236

Number of triangular partitions of n of order 7.

1, 7, 28, 90, 252, 635, 1484, 3267, 6841, 13744, 26652, 50108, 91687, 163772, 286258, 490654, 826150, 1368531, 2233217, 3594021, 5709962, 8963382, 13913499, 21371213, 32503004, 48973999, 73143903, 108333902, 159187796, 232158188, 336157883, 483427765

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..31.

L. Carlitz, R. Scoville, A generating function for triangular partitions, Math. Comp. 29 (1975) 67-77.

FORMULA

G.f.: 1/((1-x)^7*(1-x^3)^6*(1-x^5)^5*(1-x^7)^4*(1-x^9)^3*(1-x^11)^2*(1-x^13)).

MATHEMATICA

CoefficientList[Series[1/((1-x)^7 (1-x^3)^6 (1-x^5)^5 (1-x^7)^4 (1-x^9)^3 (1-x^11)^2 (1-x^13)), {x, 0, 50}], x]

PROG

(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)^7*(1-x^3)^6*(1-x^5)^5*(1-x^7)^4*(1-x^9)^3*(1-x^11)^2*(1-x^13))));