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A033461
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Expansion of (1+x)(1+x^4)(1+x^9)...
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16
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1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 3, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 3, 1, 1, 4, 3, 0, 1, 2, 2, 1, 0, 1, 4, 3, 0, 2, 4, 2, 1, 3, 2, 1, 2, 3, 3, 2, 1, 3, 6, 3, 0, 2, 5, 3, 0, 1, 3, 3, 3, 4
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,26
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COMMENTS
| "WEIGH" transform of squares A000290.
Also number of partitions of n into distinct squares. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 21 2003
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LINKS
| T. D. Noe, Table of n, a(n) for n = 0..1000
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FORMULA
| G.f.: prod (1+x^n^2), n=1, inf.
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MATHEMATICA
| nn=10; CoefficientList[Series[Product[(1+x^(k*k)), {k, nn}], {x, 0, nn*nn}], x] - T. D. Noe (noe(AT)sspectra.com), Jul 24 2006
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PROG
| (PARI) a(n)=polcoeff(prod(k=1, sqrt(n), 1+x^k^2), n)
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CROSSREFS
| Cf. A003995, A001422.
Sequence in context: A113406 A134015 A151851 * A143432 A137677 A015818
Adjacent sequences: A033458 A033459 A033460 * A033462 A033463 A033464
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Michael Somos
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