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A060894 n^8+n^7-n^5-n^4-n^3+n+1. 2
1, 1, 331, 8401, 80581, 464881, 1950271, 6568801, 18837001, 47763361, 109889011, 233669041, 465542221, 878077201, 1580623591, 2732936641, 4562284561, 7384587841, 11630180251, 17874821521, 26876632021, 39619660081, 57364832911 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n) = Phi_30(n) where Phi_k(x) is the k-th cyclotomic polynomial.

LINKS

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

Hisanori Mishima, Factorizations of many number sequences

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+358*x^2+5374*x^3+16930*x^4+14284*x^5+3238*x^6+142*x^7+x^8)/ (1-x)^9. [Colin Barker, Apr 21 2012]

MAPLE

A060894 := proc(n)

        numtheory[cyclotomic](30, n) ;

end proc:

seq(A060894(n), n=0..20) ; # R. J. Mathar, Feb 11 2014

MATHEMATICA

Table[n^8+n^7-n^5-n^4-n^3+n+1, {n, 0, 30}] (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {1, 1, 331, 8401, 80581, 464881, 1950271, 6568801, 18837001}, 30] (* Harvey P. Dale, Apr 07 2019 *)

PROG

(PARI) { for (n=0, 1000, write("b060894.txt", n, " ", n^8 + n^7 - n^5 - n^4 - n^3 + n + 1); ) } \\ Harry J. Smith, Jul 14 2009

CROSSREFS

Sequence in context: A255155 A154083 A237475 * A002228 A199820 A255389

Adjacent sequences:  A060891 A060892 A060893 * A060895 A060896 A060897

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, May 05 2001

STATUS

approved

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Last modified December 9 03:27 EST 2019. Contains 329872 sequences. (Running on oeis4.)