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URL: https://oeis.org/A219188

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A219188
Sum of prime divisors (with repetition) of Lucas(n).
1
0, 3, 4, 7, 11, 8, 29, 47, 23, 44, 199, 32, 521, 284, 46, 2207, 3571, 118, 9349, 2168, 244, 353, 600, 1152, 263, 90484, 5802, 14517, 19548, 2570, 3010349, 5568, 10104, 63513, 1022, 103713, 54018521, 29134604, 1463, 4689, 370248451, 1799, 151190, 2118, 787
OFFSET
1,2
COMMENTS
The same as A070827 from a(2) on. - R. J. Mathar, Nov 16 2012
LINKS
FORMULA
a(n) = A001414(A000032(n)). - Amiram Eldar, Sep 05 2019
EXAMPLE
a(6) = 8 because Lucas(6) = 18 = 2*3^2 and the sum of the prime divisors with repetition is 2 + 2*3 = 8.
MAPLE
A219188 := proc(n)
end proc:
seq(A219188(n), n=1..48) ; # R. J. Mathar, Nov 16 2012
MATHEMATICA
f[n_] := Plus @@ Times @@@ FactorInteger@ LucasL[n]; f[1] = 0; Array[f, 60]
CROSSREFS
KEYWORD
nonn
AUTHOR
Michel Lagneau, Nov 14 2012
STATUS
approved