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A098491
Number of partitions of n with parts occurring at most thrice and an even number of parts. Row sums of A098489.
3
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
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
KEYWORD
nonn
AUTHOR
Ralf Stephan, Sep 12 2004
EXTENSIONS
More terms from Vladeta Jovovic, Sep 16 2004
STATUS
approved