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A276236 Number of triangular partitions of n of order 7. 1
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 (list; graph; refs; listen; history; text; internal format)
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: A117473 A163037 A224153 * A022572 A193654 A241400

Adjacent sequences:  A276233 A276234 A276235 * A276237 A276238 A276239

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Sep 01 2016

STATUS

approved

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Last modified June 21 10:02 EDT 2021. Contains 345358 sequences. (Running on oeis4.)