%I A060896
%S A060896 1,1,4033,530713,16773121,244125001,2176735681,13841169553,68719214593,
%T A060896 282429005041,999999000001,3138426605161,8916097462273,23298080295673,
%U A060896 56693904845761,129746326500001,281474959933441,582622213092193
%N A060896 n^12 - n^6 + 1.
%C A060896 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).
%H A060896 Harry J. Smith, <a href="b060896.txt">Table of n, a(n) for n=0,...,1000</
               a>
%H A060896 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/
               matha1/matha103.htm">Factorizations of many number sequences</a>
%o A060896 (PARI) { for (n=0, 1000, write("b060896.txt", n, " ", n^12 - n^6 + 1); 
               ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 19 2009]
%Y A060896 Sequence in context: A099229 A124728 A034229 this_sequence A001382 A090058 
               A035782
%Y A060896 Adjacent sequences: A060893 A060894 A060895 this_sequence A060897 A060898 
               A060899
%K A060896 nonn
%O A060896 0,3
%A A060896 N. J. A. Sloane (njas(AT)research.att.com), May 05 2001