The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A209659 Partition numbers p(n) having opposite parity of n. 3

%I #12 Mar 30 2012 17:34:09

%S 1,5,11,30,56,77,135,176,231,385,490,627,792,1575,1958,3010,6842,8349,

%T 17977,26015,75175,89134,124754,147273,281589,386155,451276,526823,

%U 614154,831820,966467,2012558,3087735,5392783,8118264,9289091,13848650

%N Partition numbers p(n) having opposite parity of n.

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

%H K. Ono, <a href="http://www.ams.org/era/1995-01-01/S1079-6762-95-01005-5/S1079-6762-95-01005-5.pdf">Parity of the partition function</a>, Electronic Research Announcements of AMS, Vol. 1, 1995, pp. 35-42; MR 96d:11108

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

%K nonn

%O 1,2

%A _Omar E. Pol_, Mar 22 2012

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 14 14:06 EDT 2024. Contains 372533 sequences. (Running on oeis4.)