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A053802 Number of basis partitions of n+49 with Durfee square size 7. 2
1, 2, 4, 8, 14, 24, 40, 64, 98, 148, 218, 314, 446, 622, 854, 1158, 1550, 2050, 2684, 3478, 4464, 5682, 7172, 8982, 11170, 13796, 16928, 20648, 25040, 30198, 36234, 43262, 51410, 60824, 71656, 84074, 98266, 114430, 132780, 153556, 177008 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

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

FORMULA

G.f.: (1+q)(1+q^2)(1+q^3)(1+q^4)(1+q^5)(1+q^6)(1+q^7)/((1-q)(1-q^2)(1-q^3)(1-q^4)(1-q^5)(1-q^6)(1-q^7)).

MATHEMATICA

CoefficientList[Series[Times@@(1+x^Range[7])/Times@@(1-x^Range[7]), {x, 0, 40}], x] (* Harvey P. Dale, Aug 30 2017 *)

CROSSREFS

Sequence in context: A060046 A053801 A091778 * A091779 A090399 A069251

Adjacent sequences:  A053799 A053800 A053801 * A053803 A053804 A053805

KEYWORD

easy,nonn

AUTHOR

James A. Sellers, Mar 27 2000

STATUS

approved

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Last modified August 25 03:10 EDT 2019. Contains 326318 sequences. (Running on oeis4.)