A025151 and A026826

franktaw at netscape.net franktaw at netscape.net
Thu Jul 31 08:34:12 CEST 2008


These both look OK to me.  By their definitions, these sequences should
be the same, except for initial terms and offset: add a part of size 5 
to a
partition of n into distinct parts >= 6, and you get uniquely a 
partition of
n+5 into distinct parts, with the least being 5.

I'm not sure how you got the sequence below.

Franklin T. Adams-Watters

-----Original Message-----
From: Joerg Arndt <arndt at jjj.de>

This one
A025151 Number of partitions of n into distinct parts >= 6.
seems OK.

This one
A026826 Number of partitions of n into distinct parts, the least being 
5.
has identical terms, it seems to be duplicate with wrong definition.

By definition the latter should be

(offset) 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7,
8, 10, 11, 13, 15, 17, 20, 23, 26, 30, 35, 39, 45, 51, 58, 66, 75, 84,
96, 108, 122, 136, 154, 172, 194









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