A027584 Sequence satisfies T^2(a)=a, where T is defined below.

1, 2, 3, 4, 5, 8, 9, 12, 15, 19, 22, 28, 33, 39, 46, 54, 62, 72, 83, 94, 108, 121, 138, 154, 173, 193, 217, 239, 267, 295, 326, 359, 397, 435, 477, 525, 572, 625, 684, 745, 809, 883, 956, 1038, 1126, 1218, 1316, 1424, 1536, 1655, 1785, 1920, 2065, 2220, 2382

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..54.

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 even parts do not occur more than once.

Crossrefs

Sequence in context: A008749 A029000 A042962 * A161240 A165652 A191851

Adjacent sequences: A027581 A027582 A027583 * A027585 A027586 A027587

Keyword

nonn,eigen

Author

N. J. A. Sloane.

Extensions

More terms from Sean A. Irvine, Nov 09 2019

Status

approved