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A098491
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Number of partitions of n with parts occurring at most thrice and an even number of parts. Row sums of A098489.
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3
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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REFERENCES
| A. Fink, R. K. Guy and M. Krusemeyer, Partitions with parts occurring at most thrice, in preparation.
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FORMULA
| a(n) = (A001935(n)+(-1)^n*A010054(n))/2. - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 16 2004
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CROSSREFS
| Equals A001935 - A098492. Differs from A098492 at triangular indices.
Sequence in context: A127312 A081830 A117517 * A107947 A120768 A002384
Adjacent sequences: A098488 A098489 A098490 * A098492 A098493 A098494
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KEYWORD
| nonn
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AUTHOR
| Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 12 2004
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 16 2004
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