A027589 Sequence satisfies T^2(a)=a, where T is defined below.

1, 2, 3, 4, 6, 8, 10, 13, 17, 21, 27, 32, 39, 47, 56, 67, 78, 91, 107, 124, 143, 165, 187, 214, 244, 276, 312, 351, 394, 443, 496, 553, 616, 684, 761, 843, 932, 1029, 1133, 1249, 1374, 1508, 1652, 1809, 1978, 2162, 2358, 2569, 2796, 3041, 3306, 3587, 3889

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]

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: A027585 A123015 A005434 * A039851 A239100 A337046

Adjacent sequences: A027586 A027587 A027588 * A027590 A027591 A027592

Keyword

nonn,eigen

Author

N. J. A. Sloane.

Extensions

More terms from Sean A. Irvine, Nov 09 2019

Status

approved