[seqfan] A question about partitions

[Neil Sloane]

There is an open question, and probably not too difficult:
:
Show that A296509 = A238005.

The LHS is   (maximal number of parts in any partition of n into distinct
parts) minus (number of ways to partition n into consecutive parts)., which
is  simply A003056(n) - A001227(n), and both of these are well-studied
classics

The RHS is Number of strict partitions of n such that (greatest part) -
(least part) = (number of parts).
Strict partitions means no repeated parts.



Best regards
Neil

Neil J. A. Sloane, Chairman, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com