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A027586
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Sequence satisfies T^2(a)=a, where T is defined below.
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0
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1, 2, 3, 3, 5, 6, 8, 11, 13, 17, 20, 25, 30, 37, 45, 52, 64, 73, 86, 102, 116, 137, 157, 180, 207, 236, 269, 305, 347, 389, 440, 494, 552, 621, 691, 771, 858, 951, 1054, 1168, 1290, 1422, 1570, 1722, 1893, 2079, 2274, 2494, 2724, 2974, 3244, 3533, 3845, 4181
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OFFSET
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0,2
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REFERENCES
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S. Viswanath (student, Dept. Math, Indian Inst. Technology, Kanpur) A Note on Partition Eigensequences, preprint, Nov 15 1996.
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LINKS
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M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]
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FORMULA
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Define T:a->b by: given a1<=a2<=..., let b(n) = number of ways of partitioning n into parts from a1, a2, ... such that even parts do not occur more than once.
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CROSSREFS
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KEYWORD
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nonn,eigen
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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