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A027587
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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, 7, 8, 12, 14, 17, 23, 26, 33, 40, 46, 56, 66, 76, 91, 105, 121, 141, 161, 184, 212, 241, 273, 312, 349, 396, 447, 499, 563, 628, 699, 784, 869, 966, 1075, 1185, 1314, 1450, 1597, 1761, 1937, 2125, 2334, 2556, 2794, 3060, 3339, 3642, 3974, 4321
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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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