OFFSET
0,3
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
G. E. Andrews, P. Paule and A. Riese, MacMahon's Partition Analysis VIII: Plane partition diamonds, Advances Applied Math., 27 (2001), 231-242.
Index entries for linear recurrences with constant coefficients, signature (1, 2, -1, -2, 1, 1, -3, -1, 3, 1, -3, 2, 4, -1, -2, 1, -1, -3, -1, 0, 0, 0, 2, 2, 2, 0, 0, 0, -1, -3, -1, 1, -2, -1, 4, 2, -3, 1, 3, -1, -3, 1, 1, -2, -1, 2, 1, -1).
FORMULA
G.f.: (1+x^2)*(1+x^5)*(1+x^8)/( Product_{j=1..10} (1-x^j) ). - G. C. Greubel, Aug 16 2022
MATHEMATICA
CoefficientList[Series[(1+x^2)*(1+x^5)*(1+x^8)/(1-x)/(1-x^2)/(1-x^3)/(1-x^4)/ (1-x^5)/(1-x^6)/(1-x^7)/(1-x^8)/(1-x^9)/(1-x^10), {x, 0, 60}], x] (* Harvey P. Dale, Feb 25 2013 *)
PROG
(PARI) Vec((1+x^2)*(1+x^5)*(1+x^8)/(1-x)/(1-x^2)/(1-x^3)/(1-x^4)/(1-x^5)/(1-x^6)/(1-x^7)/(1-x^8)/(1-x^9)/(1-x^10)+O(x^99)) \\ Charles R Greathouse IV, Sep 27 2012
(Magma) R<x>:=PowerSeriesRing(Integers(), 60); Coefficients(R!( (1+x^2)*(1+x^5)*(1+x^8)/( (&*[1-x^j: j in [1..10]]) ) )); // G. C. Greubel, Aug 16 2022
(Sage)
def A069950_list(prec):
P.<x> = PowerSeriesRing(ZZ, prec)
return P( (1+x^2)*(1+x^5)*(1+x^8)/product(1-x^j for j in (1..10)) ).list()
A069950_list(60) # G. C. Greubel, Aug 16 2022
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 05 2002
STATUS
approved