login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A060892 a(n) = 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
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
MATHEMATICA
Cyclotomic[20, Range[0, 30]] (* Paolo Xausa, Feb 26 2024 *)
PROG
(PARI) a(n) = n^8 - n^6 + n^4 - n^2 + 1; \\ Harry J. Smith, Jul 14 2009
CROSSREFS
Sequence in context: A203889 A226564 A077457 * A359498 A203862 A289333
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 05 2001
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 13 05:19 EDT 2024. Contains 371639 sequences. (Running on oeis4.)