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

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))));

Crossrefs

Cf. similar sequences listed in A276235.

Sequence in context: A163037 A224153 A361771 * A022572 A193654 A356038

Adjacent sequences: A276233 A276234 A276235 * A276237 A276238 A276239

Keyword

nonn,easy

Author

Vincenzo Librandi, Sep 01 2016

Status

approved