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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
OFFSET
0,2
LINKS
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
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Sep 01 2016
STATUS
approved