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A053798
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Number of basis partitions of n+16 with Durfee square size 4.
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0
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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; internal format)
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OFFSET
| 0,2
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REFERENCES
| Hirschhorn, M. D., Basis partitions and Rogers-Ramanujan partitions, Discrete Math. 205 (1999), 241-243.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (3,-3,2,-3,3,-1)
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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
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CROSSREFS
| Sequence in context: A090533 A025003 A087151 * A138526 A201347 A089054
Adjacent sequences: A053795 A053796 A053797 * A053799 A053800 A053801
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KEYWORD
| easy,nonn
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AUTHOR
| James A. Sellers (sellersj(AT)math.psu.edu), Mar 27 2000
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