Help extending sequence: Partition of n into constant-spaced integers
Giovanni Resta
g.resta at iit.cnr.it
Mon Feb 5 11:38:02 CET 2007
Andrew Plewe wrote:
> I propose the following sequence: the number of partitions of n into
> constant-spaced integers. For example, 14 has (as I count them) 10
> partitions:
Actually, they are 11, since also {14} itself must be counted:
{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, {1, 13},
{2, 2, 2, 2, 2, 2, 2}, {2, 3, 4, 5}, {2, 12}, {3, 11},
{4, 10}, {5, 9}, {6, 8}, {7, 7},{14}
The sequence you are considering it is already in the OEIS.
See A049988
a(n)=number of arithmetic progressions of positive integers,
nondecreasing with sum n.
g.
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