FUNCTION: partitions[PRR] - number of Rogers-Ramanujan partitions
CALLING SEQUENCE: PRR(n)
PARAMETERS: n - positive integer
-
SYNOPSIS:
Computes the number of ptns of n in which difference between parts
is at least 2.
EXAMPLES:
> with(qseries):
> with(partitions):
> with(qseries):
> PRR(9);
5
> JP:=JAC(0,5,infinity)/JAC(1,5,infinity):
> series(jac2series(JP,20),q,11);
2 3 4 5 6 7 8 9 10 11
1 + q + q + q + 2 q + 2 q + 3 q + 3 q + 4 q + 5 q + 6 q + O(q )
DISCUSSION:
Number of Rogers-Ramanujan partitions of 9 is 5
SEE ALSO: ptnRR