A085638 Resultant of the polynomial x^n-1 and the Hermite polynomial H_n(x).

2, 4, -1216, 2310400, -13094125568, 41787366322733056, 609452979875950622670848, 150142808011575068721319772160000, -7129771654003819760990676428837143372103680, 114629197516562460020595757143135575237521247385419776

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