A209658 Partition numbers p(n) having the same parity as n.

1, 2, 3, 7, 15, 22, 42, 101, 297, 1002, 1255, 2436, 3718, 4565, 5604, 10143, 12310, 14883, 21637, 31185, 37338, 44583, 53174, 63261, 105558, 173525, 204226, 239943, 329931, 715220, 1121505, 1300156, 1505499, 1741630, 2323520, 2679689, 3554345

Offset

1,2

Comments

Union of A154795 and A154798. The union of A209659 and this sequence 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, A209659, A209920.

Sequence in context: A068080 A276600 A276047 * A098763 A001276 A006884

Adjacent sequences: A209655 A209656 A209657 * A209659 A209660 A209661

Keyword

nonn

Author

Omar E. Pol, Mar 22 2012

Status

approved