A276280 Number of triangular partitions of n of order 9.

1, 9, 45, 173, 567, 1654, 4422, 11040, 26051, 58638, 126778, 264670, 535806, 1055480, 2028884, 3814688, 7029559, 12717703, 22622719, 39618458, 68384638, 116456100, 195837008, 325462408, 534921468, 870044724, 1401226327, 2235733481, 3535790660

Offset

0,2

Links

Table of n, a(n) for n=0..28.

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

Formula

G.f.: 1/((1-x)^9*(1-x^3)^8*(1-x^5)^7*(1-x^7)^6*(1-x^9)^5*(1-x^11)^4*(1-x^13)^3*(1-x^15)^2*(1-x^17)).

Mathematica

CoefficientList[Series[1/((1-x)^9 (1-x^3)^8 (1-x^5)^7 (1-x^7)^6 (1-x^9)^5 (1-x^11)^4 (1-x^13)^3 (1-x^15)^2 (1-x^17)), {x, 0, 50}], x]

Prog

(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)^9*(1-x^3)^8*(1-x^5)^7*(1-x^7)^6*(1-x^9)^5*(1-x^11)^4*(1-x^13)^3*(1-x^15)^2*(1-x^17))));

Crossrefs

Cf. similar sequences listed in A276235.

Sequence in context: A221142 A144902 A128643 * A036826 A022574 A321948

Adjacent sequences: A276277 A276278 A276279 * A276281 A276282 A276283

Keyword

nonn,easy

Author

Vincenzo Librandi, Sep 01 2016

Status

approved