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A069252
Number of basis partitions of n+81 with Durfee square size 9.
2
1, 2, 4, 8, 14, 24, 40, 64, 100, 154, 230, 338, 490, 698, 982, 1366, 1876, 2550, 3434, 4578, 6052, 7938, 10328, 13342, 17120, 21820, 27640, 34810, 43588, 54290, 67278, 82958, 101816, 124404, 151340, 183350, 221252, 265958, 318524, 380132, 452094
OFFSET
0,2
LINKS
M. D. Hirschhorn, Basis partitions and Rogers-Ramanujan partitions, Discrete Math. 205 (1999), 241-243.
FORMULA
G.f.: -(x +1) * (x^2 -x +1) * (x^4 -x^3 +x^2 -x +1) * (x^4 -x^2 +1) * (x^6 -x^5 +x^4 -x^3 +x^2 -x +1) * (x^6 -x^3 +1) * (x^8 +1) / ((x -1)^9 * (x^2 +x +1)^3 * (x^4 +x^3 +x^2 +x +1) * (x^6 +x^3 +1) * (x^6 +x^5 +x^4 +x^3 +x^2 +x +1)). - Colin Barker, Jul 13 2013
PROG
(PARI) s=9; a(n)=polcoeff(prod(i=1, s, (1+x^i))/(prod(i=1, s, (1-x^i))+x*O(x^n)), n) for(n=0, 50, print1(a(n), ", "))
CROSSREFS
Column k=9 of A316723.
Sequence in context: A261988 A128770 A280947 * A365667 A069253 A004402
KEYWORD
nonn,easy
AUTHOR
Benoit Cloitre, Apr 13 2002
STATUS
approved