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

0,4

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 - A098491. Differs from A098491 at triangular indices.

Sequence in context: A141847 A182372 A089333 * A217314 A173508 A103632

Adjacent sequences: A098489 A098490 A098491 * A098493 A098494 A098495

Keyword

nonn

Author

Ralf Stephan, Sep 12 2004

Status

approved