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A105067
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n^11 + n^10 + n^9 + n^8 + n^7 + n^6 + n^5 + n^4 + n^3 + n^2 + n + 1.
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4
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1, 12, 4095, 265720, 5592405, 61035156, 435356467, 2306881200, 9817068105, 35303692060, 111111111111, 313842837672, 810554586205, 1941507093540, 4361070182715, 9267595563616, 18764998447377, 36413889826860
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (56,-1372,19208,-168070,941192,-3294172,6588344,-5764801).
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FORMULA
| Factorization of the polynomial into irreducible components over integers: n^11 + n^10 + n^9 + n^8 + n^7 + n^6 + n^5 + n^4 + n^3 + n^2 + n + 1 = +/- (n + 1) * (n^2 - n + 1) * (n^2 + 1) * (n^2 + n + 1) * (n^4 - n^2 + 1). - Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 06 2005
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PROG
| (MAGMA) [n^11 + n^10 + n^9 + n^8 + n^7 + n^6 + n^5 + n^4 + n^3 + n^2 + n + 1: n in [0..30]]; // Vincenzo Librandi, May 01 2011
(PARI) a(n)=polcyclo(11, n)+n^11 \\ Charles R Greathouse IV, Sep 03 2011
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CROSSREFS
| Cf. A002061, A053698, A053699, A053700, A053716, A053717, A102909, A103623, A060885, A060887.
Sequence in context: A012609 A159395 A099186 * A096732 A127233 A169657
Adjacent sequences: A105064 A105065 A105066 * A105068 A105069 A105070
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KEYWORD
| nonn,easy
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AUTHOR
| Douglas Winston (douglas.winston(AT)srupc.com), Apr 05 2005
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