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Search: id:A053801
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| A053801 |
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Number of basis partitions of n+36 with Durfee square size 6. |
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+0
1
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| 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; listen)
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OFFSET
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0,2
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REFERENCES
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Hirschhorn, M. D., Basis partitions and Rogers-Ramanujan partitions, Discrete Math. 205 (1999), 241-243.
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FORMULA
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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)).
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PROGRAM
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(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 */
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CROSSREFS
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Sequence in context: A053800 A091774 A060046 this_sequence A091778 A053802 A091779
Adjacent sequences: A053798 A053799 A053800 this_sequence A053802 A053803 A053804
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KEYWORD
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easy,nonn
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AUTHOR
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James A. Sellers (sellersj(AT)math.psu.edu), Mar 27 2000
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