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A053801 Number of basis partitions of n+36 with Durfee square size 6. 0
1, 2, 4, 8, 14, 24, 40, 62, 94, 140, 202, 286, 398, 542, 728, 966, 1262, 1630, 2084, 2634, 3300, 4100, 5048, 6170, 7490, 9028, 10816, 12884, 15258, 17978, 21082, 24602, 28586, 33080, 38124, 43776, 50090, 57114, 64916, 73560, 83104, 93626 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

Hirschhorn, M. D., Basis partitions and Rogers-Ramanujan partitions, Discrete Math. 205 (1999), 241-243.

LINKS

Table of n, a(n) for n=0..41.

FORMULA

Euler transform of length 12 sequence [ 2, 1, 2, 1, 2, 1, 0, -1, 0, -1, 0, -1]. - Michael Somos, Sep 02 2006

G.f.: (1+q)(1+q^2)(1+q^3)(1+q^4)(1+q^5)(1+q^6)/((1-q)(1-q^2)(1-q^3)(1-q^4)(1-q^5)(1-q^6)).

PROG

(PARI) {a(n)=if(n<0, 0, polcoeff( prod(k=1, 6, (1+x^k)/(1-x^k), 1+x*O(x^n)), n))} /* Michael Somos, Sep 02 2006 */

CROSSREFS

Sequence in context: A091774 A243815 A060046 * A091778 A053802 A091779

Adjacent sequences:  A053798 A053799 A053800 * A053802 A053803 A053804

KEYWORD

easy,nonn

AUTHOR

James A. Sellers, Mar 27 2000

STATUS

approved

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Last modified December 6 06:58 EST 2016. Contains 278775 sequences.