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A061447
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Primitive part of Lucas(n).
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8
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1, 3, 4, 7, 11, 6, 29, 47, 19, 41, 199, 46, 521, 281, 31, 2207, 3571, 321, 9349, 2161, 211, 13201, 64079, 2206, 15251, 90481, 5779, 101521, 1149851, 2521, 3010349, 4870847, 9901, 4250681, 64681, 103681, 54018521, 29134601, 67861, 4868641, 370248451
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| Brillhart, John; Montgomery, Peter L.; Silverman, Robert D.; Tables of Fibonacci and Lucas factorizations. Math. Comp. 50 (1988), no. 181, 251-260, S1-S15. Math. Rev. 89h:11002.
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
C. K. Caldwell, Lucas Aurifeuillian primitive part
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FORMULA
| Primitive part of L(n) is primitive part of F(2n).
a(n) = Product_{ d divides 2*n } Fibonacci(2*n/d)^mu(d). - Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 08 2004
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MATHEMATICA
| t={1}; Do[f=LucasL[n]; Do[f=f/GCD[f, t[[d]]], {d, Most[Divisors[n]]}]; AppendTo[t, f], {n, 2, 100}]; t
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CROSSREFS
| Cf. A061446, A061254, A061445, A061442, A061443.
Cf. A126015
Sequence in context: A032715 A002887 A080034 * A185506 A080591 A047543
Adjacent sequences: A061444 A061445 A061446 * A061448 A061449 A061450
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KEYWORD
| nonn
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AUTHOR
| D.Broadhurst(AT)open.ac.uk, Jun 10 2001
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 08 2004
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