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A003164
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Numerators of Van der Pol numbers.
(Formerly M5262)
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2
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1, -1, 1, -1, -1, 1, 1, -1, -37, 111, 177, -177, -2753, 2753, 827, -827, -8386459, 8386459, 28033727, -28033727, -14529522883, 14529522883, 1799010587, -1799010587, -47497385017, 47497385017, 2217167083651, -19954503752859
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,9
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REFERENCES
| F. T. Howard, Properties of the van der Pol numbers and polynomials, R. Reine Angew. Math., 260 (1973), 35-46.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| T. D. Noe, Table of n, a(n) for n=0..200
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EXAMPLE
| 1, -1/2, 1/5, -1/20, -1/350, 1/140, 1/1050, -1/300, -37/57750, 111/38500, 177/250250, -177/45500, ... = A003163/A003164
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MATHEMATICA
| max = 27; g[x_] = x^3/(6*x*(E^x + 1) - 12*(E^x - 1)); Numerator[ CoefficientList[ Series[ g[x], {x, 0, max}], x]*Range[0, max]!](* From Jean-François Alcover, Nov 17 2011, after g.f. *)
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CROSSREFS
| Cf. A003163.
Sequence in context: A031419 A176549 A118536 * A138638 A193105 A044288
Adjacent sequences: A003161 A003162 A003163 * A003165 A003166 A003167
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KEYWORD
| sign,frac,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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