A158980 Numerator of Hermite(n, 1/7).

1, 2, -94, -580, 26476, 280312, -12412616, -189648688, 8135757200, 164956085792, -6845825678816, -175348615433792, 7029102850896064, 220268177451931520, -8514540677137722496, -319237020818325490432, 11877900753755801088256, 524319450150645971173888

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..450

Formula

From G. C. Greubel, Jun 09 2018: (Start)

a(n) = 7^n * Hermite(n,1/7).

E.g.f.: exp(2*x-49*x^2).

a(n) = numerator(Sum_{k=0..floor(n/2)} (-1)^k*n!*(2/7)^(n-2*k)/(k!*(n-2*k)!)). (End)

Mathematica

Numerator[Table[HermiteH[n, 1/7], {n, 0, 50}]] (* Vladimir Joseph Stephan Orlovsky, Apr 01 2011*)

Prog

(PARI) a(n)=numerator(polhermite(n, 1/7)) \\ Charles R Greathouse IV, Jan 29 2016
(Magma) [Numerator((&+[(-1)^k*Factorial(n)*(2/7)^(n-2*k)/( Factorial(k) *Factorial(n-2*k)): k in [0..Floor(n/2)]])): n in [0..30]]; // G. C. Greubel, Jun 09 2018

Crossrefs

Cf. A158811, A158954, A158960.

Sequence in context: A290936 A287611 A363017 * A343457 A220970 A302577

Adjacent sequences: A158977 A158978 A158979 * A158981 A158982 A158983

Keyword

sign,frac

Author

N. J. A. Sloane, Nov 12 2009

Status

approved