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A001816 Coefficients of x^n in Hermite polynomial H_{n+4}
(Formerly M4862 N2078)
+0
2
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)
OFFSET

0,1

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.

LINKS

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].

Index entries for sequences related to Hermite polynomials

FORMULA

G.f.: 12 ( 1 - 2 x )^(-5).

CROSSREFS

a(n) = 12*A003472(n) = A060821(4+n,n).

Sequence in context: A006953 A121032 A093334 this_sequence A133386 A056320 A056311

Adjacent sequences: A001813 A001814 A001815 this_sequence A001817 A001818 A001819

KEYWORD

nonn,easy

AUTHOR

njas, Simon Plouffe (plouffe(AT)math.uqam.ca)

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Jan 29 2001

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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