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

0,5

Links

Table of n, a(n) for n=0..50.

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.

Formula

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

Crossrefs

Equals A001935 - A098492. Differs from A098492 at triangular indices.

Sequence in context: A329289 A117517 A339732 * A280449 A107947 A120768

Adjacent sequences: A098488 A098489 A098490 * A098492 A098493 A098494

Keyword

nonn

Author

Ralf Stephan, Sep 12 2004

Extensions

More terms from Vladeta Jovovic, Sep 16 2004

Status

approved