A027593 Sequence satisfies T^2(a)=a, where T is defined below.

1, 2, 3, 5, 6, 10, 12, 17, 22, 29, 36, 48, 58, 73, 91, 111, 134, 165, 197, 236, 283, 335, 395, 469, 547, 640, 748, 868, 1002, 1164, 1335, 1534, 1760, 2011, 2288, 2612, 2958, 3352, 3795, 4280, 4816, 5427, 6084, 6817, 7636, 8527, 9506, 10604, 11786, 13092, 14535

Offset

1,2

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=1..51.

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 parts = 0 mod 5 do not occur more than once.

A027593 = T(A027594). - Sean A. Irvine, Nov 10 2019

Crossrefs

Cf. A007211, A027594.

Sequence in context: A008627 A130900 A007211 * A115029 A241443 A023025

Adjacent sequences: A027590 A027591 A027592 * A027594 A027595 A027596

Keyword

nonn,eigen

Author

N. J. A. Sloane, Dec 11 1999

Extensions

Revised by Sean A. Irvine, Nov 10 2019

Status

approved