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A098492 Number of partitions of n with parts occurring at most thrice and an odd number of parts. Row sums of A098490. 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified March 26 12:43 EDT 2019. Contains 321497 sequences. (Running on oeis4.)