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Search: id:A001816
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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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+0
2
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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; listen)
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OFFSET
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0,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
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.
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LINKS
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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
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G.f.: 12 ( 1 - 2 x )^(-5).
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CROSSREFS
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a(n) = 12*A003472(n) = A060821(4+n, n).
Sequence in context: A164877 A121032 A093334 this_sequence A133386 A056320 A056311
Adjacent sequences: A001813 A001814 A001815 this_sequence A001817 A001818 A001819
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Jan 29 2001
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