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Search: id:A053993
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| A053993 |
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The number phi_2(n) of Frobenius partitions that allow up to 2 repetitions of an integer in a row. |
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+0
1
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| 1, 1, 3, 5, 9, 14, 24, 35, 55, 81, 120, 171, 248, 345, 486, 669, 920, 1246, 1690, 2256, 3014, 3984, 5253, 6870, 8970, 11618, 15022, 19306, 24745, 31557, 40154, 50845, 64244, 80850, 101501, 126982, 158514, 197218, 244865, 303143, 374497, 461435
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Sum of products of multiplicities of odd parts in all partitions of n+1 (if there are no odd parts in a partition then product of multiplicities is considered to be 1). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 16 2005
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REFERENCES
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Andrews, George E., Generalized Frobenius partitions, Memoirs of the American Mathematical Society, Number 301, May 1984.
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FORMULA
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Generating function in Andrews' Memoir
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CROSSREFS
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Cf. A077285.
Sequence in context: A033818 A120452 A061556 this_sequence A071155 A120695 A116649
Adjacent sequences: A053990 A053991 A053992 this_sequence A053994 A053995 A053996
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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), Apr 04 2000
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