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A053798 Number of basis partitions of n+16 with Durfee square size 4. 2
1, 2, 4, 8, 14, 22, 34, 50, 70, 96, 128, 166, 212, 266, 328, 400, 482, 574, 678, 794, 922, 1064, 1220, 1390, 1576, 1778, 1996, 2232, 2486, 2758, 3050, 3362, 3694, 4048, 4424, 4822, 5244, 5690, 6160, 6656, 7178, 7726, 8302, 8906, 9538, 10200, 10892, 11614 (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.

Index entries for linear recurrences with constant coefficients, signature (3,-3,2,-3,3,-1)

FORMULA

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

a(n) = (n*(n^2+15)+2*A049347(n-1))/9, n>0. G.f. 1+ 2*x*(1-x+x^2-x^3+x^4) / ( (1+x+x^2)*(x-1)^4 ). - R. J. Mathar, Mar 24 2011

CROSSREFS

Sequence in context: A090533 A025003 A087151 * A305497 A231429 A259392

Adjacent sequences:  A053795 A053796 A053797 * A053799 A053800 A053801

KEYWORD

easy,nonn

AUTHOR

James A. Sellers, Mar 27 2000

STATUS

approved

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Last modified August 24 13:48 EDT 2019. Contains 326279 sequences. (Running on oeis4.)