A027587 Sequence satisfies T^2(a)=a, where T is defined below.

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

Offset

0,2

References

S. Viswanath (student, Dept. Math, Indian Inst. Technology, Kanpur) A Note on Partition Eigensequences, preprint, Nov 15 1996.

Links

Table of n, a(n) for n=0..53.

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 arXiv version]

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]

Formula

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.

Crossrefs

Sequence in context: A053271 A035360 A377435 * A363300 A030779 A030729

Adjacent sequences: A027584 A027585 A027586 * A027588 A027589 A027590

Keyword

nonn,eigen

Author

N. J. A. Sloane.

Extensions

More terms from Sean A. Irvine, Nov 09 2019

Status

approved