A027594 Sequence satisfies T^2(a)=a, where T is defined below.

1, 2, 3, 4, 6, 9, 11, 15, 19, 24, 30, 39, 46, 57, 69, 82, 99, 119, 138, 163, 190, 221, 256, 298, 339, 389, 445, 505, 575, 653, 733, 827, 929, 1042, 1166, 1306, 1450, 1614, 1795, 1988, 2203, 2438, 2683, 2960, 3257, 3580, 3929, 4312, 4712, 5155, 5635, 6145, 6701

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

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

Crossrefs

Sequence in context: A039865 A304428 A132134 * A130899 A007210 A198394

Adjacent sequences: A027591 A027592 A027593 * A027595 A027596 A027597

Keyword

nonn,eigen

Author

N. J. A. Sloane.

Extensions

More terms from Sean A. Irvine, Nov 09 2019

Status

approved