A209659 Partition numbers p(n) having opposite parity of n.

1, 5, 11, 30, 56, 77, 135, 176, 231, 385, 490, 627, 792, 1575, 1958, 3010, 6842, 8349, 17977, 26015, 75175, 89134, 124754, 147273, 281589, 386155, 451276, 526823, 614154, 831820, 966467, 2012558, 3087735, 5392783, 8118264, 9289091, 13848650

Offset

1,2

Comments

Union of A154797 and A154796. The union of this sequence and A209658 gives A000041.

Links

Table of n, a(n) for n=1..37.

K. Ono, Parity of the partition function, Electronic Research Announcements of AMS, Vol. 1, 1995, pp. 35-42; MR 96d:11108

Crossrefs

Cf. A000041, A052001, A052003, A067567, A127219, A154795-A154798, A163096, A163097, A194798, A209658, A209920.

Sequence in context: A174922 A088484 A179256 * A266820 A335455 A114688

Adjacent sequences: A209656 A209657 A209658 * A209660 A209661 A209662

Keyword

nonn

Author

Omar E. Pol, Mar 22 2012

Status

approved