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A061447

Primitive part of Lucas(n).

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

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OFFSET

1,2

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

J. Brillhart, P. L. Montgomery and R. D. Silverman, Tables of Fibonacci and Lucas factorizations, Math. Comp. 50 (1988), 251-260, S1-S15. Math. Rev. 89h:11002.

C. K. Caldwell, Lucas Aurifeuillian primitive part

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, Mar 08 2004

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

CROSSREFS

Cf. A061446, A061254, A061445, A061442, A061443.

Cf. A126015

Sequence in context: A002887 A080034 A378030 * A219188 A283428 A185506

Adjacent sequences: A061444 A061445 A061446 * A061448 A061449 A061450

KEYWORD