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A060896
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n^12 - n^6 + 1.
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19
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1, 1, 4033, 530713, 16773121, 244125001, 2176735681, 13841169553, 68719214593, 282429005041, 999999000001, 3138426605161, 8916097462273, 23298080295673, 56693904845761, 129746326500001, 281474959933441, 582622213092193
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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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).
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,1000
Hisanori Mishima, Factorizations of many number sequences
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PROG
| (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]
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CROSSREFS
| Sequence in context: A186530 A124728 A034229 * A206617 A178274 A204948
Adjacent sequences: A060893 A060894 A060895 * A060897 A060898 A060899
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), May 05 2001
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