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A001816
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Coefficients of x^n in Hermite polynomial H_{n+4}
(Formerly M4862 N2078)
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1
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12, 120, 720, 3360, 13440, 48384, 161280, 506880, 1520640, 4392960, 12300288, 33546240, 89456640, 233963520, 601620480, 1524105216, 3810263040, 9413591040, 23011000320, 55710842880, 133706022912, 318347673600
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 801.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
Index entries for sequences related to Hermite polynomials
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FORMULA
| G.f.: 12 ( 1 - 2 x )^(-5).
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CROSSREFS
| a(n) = 12*A003472(n) = A060821(4+n, n).
Sequence in context: A121032 A188251 A093334 * A133386 A056320 A056311
Adjacent sequences: A001813 A001814 A001815 * A001817 A001818 A001819
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
| More terms from Larry Reeves (larryr(AT)acm.org), Jan 29 2001
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