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A060885
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n^10 + n^9 + n^8 + n^7 + n^6 + n^5 + n^4 + n^3 + n^2 + n + 1
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25
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1, 11, 2047, 88573, 1398101, 12207031, 72559411, 329554457, 1227133513, 3922632451, 11111111111, 28531167061, 67546215517, 149346699503, 311505013051, 617839704241, 1172812402961, 2141993519227, 3780494710543, 6471681049901
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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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
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FORMULA
| G.f.: -((1+x^2*(1981+x*(66496+x*(534898+x*(1364848+x*(1233970+ x*(389104+x*(36829+x*(672+x)))))))))/(x-1)^11) [From Harvey P. Dale, June 19 2011]
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MATHEMATICA
| f[a_]:=a^0+a^1+a^2+a^3+a^4+a^5+a^6+a^7+a^8+a^9+a^10; lst={}; Do[AppendTo[lst, f[n]], {n, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 14 2009]
Join[{1}, Table[Total[n^Range[0, 10]], {n, 20}]] (* From Harvey P. Dale, June 19 2011 *)
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PROG
| (PARI) { for (n=0, 1000, write("b060885.txt", n, " ", n^10 + n^9 + n^8 + n^7 + n^6 + n^5 + n^4 + n^3 + n^2 + n + 1); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 14 2009]
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CROSSREFS
| Sequence in context: A114354 A167249 A180587 * A020519 A004822 A078271
Adjacent sequences: A060882 A060883 A060884 * A060886 A060887 A060888
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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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