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A060894 a(n) = n^8 + n^7 - n^5 - n^4 - n^3 + n + 1.

%I A060894 #22 Dec 20 2024 10:12:47
%S A060894 1,1,331,8401,80581,464881,1950271,6568801,18837001,47763361,
%T A060894 109889011,233669041,465542221,878077201,1580623591,2732936641,
%U A060894 4562284561,7384587841,11630180251,17874821521,26876632021,39619660081,57364832911,81709082401,114653477401,158681234401
%N A060894 a(n) = n^8 + n^7 - n^5 - n^4 - n^3 + n + 1.
%C A060894 a(n) = Phi_30(n) where Phi_k(x) is the k-th cyclotomic polynomial.
%H A060894 Harry J. Smith, <a href="/A060894/b060894.txt">Table of n, a(n) for n=0,...,1000</a>
%H A060894 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/matha1/matha103.htm">Factorizations of many number sequences</a>
%H A060894 <a href="/index/Cy#CyclotomicPolynomialsValuesAtX">Index to values of cyclotomic polynomials of integer argument</a>
%H A060894 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).
%F A060894 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
%p A060894 A060894 := proc(n)
%p A060894         numtheory[cyclotomic](30,n) ;
%p A060894 end proc:
%p A060894 seq(A060894(n),n=0..20) ; # _R. J. Mathar_, Feb 11 2014
%t A060894 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 *)
%o A060894 (PARI) a(n) = { n^8 + n^7 - n^5 - n^4 - n^3 + n + 1 } \\ _Harry J. Smith_, Jul 14 2009
%K A060894 nonn,easy
%O A060894 0,3
%A A060894 _N. J. A. Sloane_, May 05 2001