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A060892 n^8-n^6+n^4-n^2+1. 2
1, 1, 205, 5905, 61681, 375601, 1634221, 5649505, 16519105, 42521761, 99009901, 212601841, 427016305, 810932305, 1468297741, 2551550401, 4278255361, 6951703105, 10986053005, 16936647121, 25536159601, 37737287281, 54762727405, 78163228705, 109884542401 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n) = Phi_20(n) where Phi_k(x) is the k-th cyclotomic polynomial.

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,1000

Index to values of cyclotomic polynomials of integer argument

Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).

FORMULA

G.f.: (1-8*x+232*x^2+4012*x^3+15958*x^4+15832*x^5+4096*x^6+196*x^7+x^8)/ (1-x)^9. [Colin Barker, Apr 22 2012]

MAPLE

A060892 := proc(n)

        numtheory[cyclotomic](20, n) ;

end proc:

seq(A060892(n), n=0..20) ; # R. J. Mathar, Feb 11 2014

PROG

(PARI) { for (n=0, 1000, write("b060892.txt", n, " ", n^8 - n^6 + n^4 - n^2 + 1); ) } \\ Harry J. Smith, Jul 14 2009

CROSSREFS

Sequence in context: A203889 A226564 A077457 * A203862 A289333 A015289

Adjacent sequences:  A060889 A060890 A060891 * A060893 A060894 A060895

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, May 05 2001

STATUS

approved

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Last modified January 23 07:07 EST 2020. Contains 331168 sequences. (Running on oeis4.)