|
| |
|
|
A060892
|
|
n^8-n^6+n^4-n^2+1.
|
|
19
|
|
|
|
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
|
Let Phi_k(x) be the k-th cyclotomic polynomial and form the sequence Phi_k(0), Phi_k(1), Phi_k(2), ... This gives A000027 (k=2), A002061 (k=3), A002522 (k=4), A053699 (k=5), A002061 (k=6), A053716 (k=7), A002523 (k=8), A060883 (k=9), A060884 (k=10), A060885 (k=11), A060886 (k=12), A060887 (k=13), A060888 (k=14), A060889 (k=15), A060890 (k=16), A060891 (k=18), A060892 (k=20), A060893 (k=24), A060894 (k=30), A060895 (k=32), A060896 (k=36).
|
|
|
LINKS
|
Harry J. Smith, Table of n, a(n) for n=0,...,1000
|
|
|
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]
|
|
|
PROG
|
(PARI) { for (n=0, 1000, write("b060892.txt", n, " ", n^8 - n^6 + n^4 - n^2 + 1); ) } [From Harry J. Smith, Jul 14 2009]
|
|
|
CROSSREFS
|
Sequence in context: A203889 A226564 A077457 * A203862 A015289 A203888
Adjacent sequences: A060889 A060890 A060891 * A060893 A060894 A060895
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
N. J. A. Sloane, May 05 2001
|
|
|
STATUS
|
approved
|
| |
|
|
