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A134337
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Number of partitions into distinct odd squarefree parts.
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0
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1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 3, 4, 3, 4, 5, 5, 6, 6, 7, 8, 7, 8, 9, 9, 11, 10, 12, 14, 14, 16, 17, 20, 21, 21, 25, 27, 27, 29, 31, 35, 35, 36, 42, 44, 45, 49, 55, 59, 61, 66, 74, 77, 81, 87, 93, 99, 102, 110, 117, 123, 131, 138, 148, 159, 167, 178, 190, 204, 215, 225
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,9
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COMMENTS
| Also number of partitions into distinct parts m such that 2*m is squarefree
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LINKS
| Joerg Arndt, fxtbook, section 16.4.3 "Partitions into square-free parts", pp.351-352
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FORMULA
| prod(n=1, infinity, 1+moebius(2*n-1)^2*x^(2*n-1) ) ) prod(n=1, infinity, 1+moebius(2*n)^2*x^(n) ) )
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PROG
| (PARI) Vec( prod(n=1, 1000, 1+moebius(2*n-1)^2*x^(2*n-1) ) ) /* also Vec( prod(n=1, 1000, 1+moebius(2*n)^2*x^(n) ) ) */
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CROSSREFS
| Sequence in context: A190353 A025829 A029285 * A053633 A156755 A090822
Adjacent sequences: A134334 A134335 A134336 * A134338 A134339 A134340
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KEYWORD
| nonn
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AUTHOR
| Joerg Arndt (arndt(AT)jjj.de), Aug 27 2008
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