A027590 Sequence satisfies T^2(a)=a, where T is defined below.

1, 2, 2, 4, 4, 6, 7, 11, 12, 16, 18, 25, 28, 36, 41, 53, 59, 73, 82, 102, 115, 138, 155, 185, 208, 244, 273, 321, 359, 415, 461, 533, 593, 678, 751, 857, 948, 1071, 1182, 1334, 1472, 1649, 1813, 2027, 2225, 2475, 2712, 3011, 3295, 3640, 3974, 4381, 4779, 5251

Offset

0,2

Comments

T(a) is given by A027591. [From Max Alekseyev, Feb 20 2010]

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..53.

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 3 do not occur more than once.

Crossrefs

Sequence in context: A366129 A341697 A242984 * A007212 A027595 A261797

Adjacent sequences: A027587 A027588 A027589 * A027591 A027592 A027593

Keyword

nonn,eigen

Author

N. J. A. Sloane.

Extensions

More terms from Max Alekseyev, Feb 20 2010

Status

approved