A098492 Number of partitions of n with parts occurring at most thrice and an odd number of parts. Row sums of A098490.

0, 1, 1, 2, 2, 3, 4, 6, 8, 11, 14, 19, 25, 32, 41, 53, 66, 83, 104, 129, 160, 198, 242, 296, 361, 438, 530, 640, 769, 923, 1105, 1318, 1569, 1864, 2208, 2611, 3081, 3628, 4264, 5003, 5858, 6848, 7993, 9312, 10833, 12585, 14595, 16904, 19552, 22582, 26049

Offset: 0

Author

Ralf Stephan, Sep 12 2004

Keywords

• nonn

Links

• Alex Fink, Richard K. Guy, and Mark Krusemeyer, Partitions with parts occurring at most thrice, Contributions to Discrete Mathematics, Vol 3, No 2 (2008), pp. 76-114.

Crossrefs

Equals A001935 - A098491. Differs from A098491 at triangular indices.

Formula

a(n) = (A001935(n)-(-1)^n*A010054(n))/2. - Vladeta Jovovic, Sep 16 2004