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

Author

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

Keywords

• sign

Crossrefs

Cf. A060821 (Hermite polynomial), A086840.

Programs

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

Extensions

More terms from David Wasserman, Feb 08 2005