A098491 Number of partitions of n with parts occurring at most thrice and an even number of parts. Row sums of A098489.

1, 0, 1, 1, 2, 3, 5, 6, 8, 11, 15, 19, 25, 32, 41, 52, 66, 83, 104, 129, 160, 197, 242, 296, 361, 438, 530, 640, 770, 923, 1105, 1318, 1569, 1864, 2208, 2611, 3082, 3628, 4264, 5003, 5858, 6848, 7993, 9312, 10833, 12584, 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 - A098492. Differs from A098492 at triangular indices.

Formula

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

Extensions

More terms from Vladeta Jovovic, Sep 16 2004