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

Author

N. J. A. Sloane, Dec 11 1999

Keywords

• nonn
• eigen

References

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

Links

• 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]

Crossrefs

Cf. A007211, A027594.

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

Extensions

Revised by Sean A. Irvine, Nov 10 2019