login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A085638 Resultant of the polynomial x^n-1 and the Hermite polynomial H_n(x). 0
2, 4, -1216, 2310400, -13094125568, 41787366322733056, 609452979875950622670848, 150142808011575068721319772160000, -7129771654003819760990676428837143372103680, 114629197516562460020595757143135575237521247385419776 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..10.

PROG

(PARI) Hnmin2 = 1; Hnmin1 = 2*x; print1(polresultant(x - 1, Hnmin1), ", "); for (n = 2, 12, H = 2*x*Hnmin1 - 2*(n - 1)*Hnmin2; print1(polresultant(x^n - 1, H), ", "); Hnmin2 = Hnmin1; Hnmin1 = H); \\ David Wasserman, Feb 08 2005

(PARI) a(n) = polresultant(x^n-1, polhermite(n)); \\ Michel Marcus, Apr 13 2020

CROSSREFS

Cf. A060821 (Hermite polynomial), A086840.

Sequence in context: A045647 A219452 A102064 * A134718 A328313 A048829

Adjacent sequences:  A085635 A085636 A085637 * A085639 A085640 A085641

KEYWORD

sign

AUTHOR

Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 15 2003

EXTENSIONS

More terms from David Wasserman, Feb 08 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 18 06:05 EDT 2020. Contains 337166 sequences. (Running on oeis4.)