A025161 Number of partitions of n with distinct parts p(i) such that if i != j, then |p(i) - p(j)| >= 7.
1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 11, 12, 14, 15, 17, 19, 21, 23, 26, 28, 31, 34, 37, 40, 44, 47, 51, 55, 59, 63, 68, 73, 78, 84, 90, 97, 104, 112, 120, 130, 139, 150, 161, 174, 186, 201, 215, 232, 248, 267, 285, 307, 327, 351, 374, 401
Offset: 1
Keywords
Links
- Alois P. Heinz, Table of n, a(n) for n = 1..1000
Formula
G.f.: Sum(x^(7/2*k^2-5/2*k)/Product(1-x^i, i=1..k), k=1..infinity). - Vladeta Jovovic, Aug 12 2004
Extensions
More terms from Naohiro Nomoto, Feb 27 2002