A027588 Sequence satisfies T^2(a)=a, where T is defined below.

1, 2, 3, 5, 6, 9, 11, 16, 19, 26, 31, 40, 48, 60, 70, 87, 102, 123, 143, 171, 199, 233, 269, 314, 360, 416, 476, 545, 621, 708, 802, 909, 1026, 1159, 1302, 1463, 1640, 1836, 2049, 2288, 2545, 2832, 3142, 3485, 3855, 4263, 4706, 5191, 5713, 6288, 6907, 7581

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..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]

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 3 do not occur more than once.

Crossrefs

Sequence in context: A008769 A115270 A339277 * A224956 A131995 A363066

Adjacent sequences: A027585 A027586 A027587 * A027589 A027590 A027591

Keyword

nonn,eigen

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Nov 09 2019

Status

approved