A299293 Number of (n + 1, n + 2)-core partitions into odd parts.

1, 2, 4, 7, 17, 31, 80, 152, 404, 790, 2140, 4271, 11729, 23767, 65952, 135221, 378321, 782968, 2205168, 4598804, 13023324, 27332956, 77761008

Offset

0,2

Links

Table of n, a(n) for n=0..22.

Paul Barry, Extensions of Riordan Arrays and Their Applications, Mathematics (2025) Vol. 13, No. 2, 242. See p. 23.

Anthony Zaleski and Doron Zeilberger, On the Intriguing Problem of Counting (n + 1, n + 2)-Core Partitions into Odd Parts, arXiv:1712.10072 [math.CO], 2017.

Crossrefs

Cf. A047749.

Sequence in context: A299294 A299102 A027238 * A342538 A076894 A047871

Adjacent sequences: A299290 A299291 A299292 * A299294 A299295 A299296

Keyword

nonn,more

Author

N. J. A. Sloane, Feb 14 2018

Status

approved