A027585 Sequence satisfies T^2(a)=a, where T is defined below.

1, 2, 3, 4, 6, 8, 10, 13, 17, 21, 26, 33, 39, 48, 59, 68, 82, 97, 113, 133, 155, 179, 207, 240, 273, 312, 358, 404, 459, 521, 584, 659, 742, 829, 927, 1037, 1153, 1282, 1428, 1579, 1748, 1938, 2134, 2352, 2595, 2847, 3127, 3435, 3757, 4111, 4500, 4908, 5351

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..52.

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]

Sean A. Irvine, Java program (github)

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: A067996 A074715 A325350 * A123015 A005434 A027589

Adjacent sequences: A027582 A027583 A027584 * A027586 A027587 A027588

Keyword

nonn,eigen

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Nov 09 2019

Status

approved