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A163322
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The 3rd Hermite Polynomial evaluated at n: H_3(n)=8*n^3-12*n.
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2
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0, -4, 40, 180, 464, 940, 1656, 2660, 4000, 5724, 7880, 10516, 13680, 17420, 21784, 26820, 32576, 39100, 46440, 54644, 63760, 73836, 84920, 97060, 110304, 124700, 140296, 157140, 175280, 194764, 215640, 237956, 261760, 287100, 314024, 342580
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index entries for sequences related to Hermite polynomials
Eric Weisstein, Hermite Polynomial, MathWorld.
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FORMULA
| a(n)=8*n^3-12*n.
a(n)=4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4). G.f.: -4*x*(1-14*x+x^2)/(x-1)^4.
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MAPLE
| A163322 := proc(n) orthopoly[H](3, n) ; end: seq(A163322(n), n=0..80) ; # R. J. Mathar, Jul 26 2009
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CROSSREFS
| Cf. A060821, A059343.
Sequence in context: A063997 A187378 A199833 * A009355 A061132 A174644
Adjacent sequences: A163319 A163320 A163321 * A163323 A163324 A163325
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KEYWORD
| sign,easy
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jul 25 2009
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EXTENSIONS
| Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 26 2009
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