A070827 -id:A070827 - cp's OEIS frontend

A219188 Sum of prime divisors (with repetition) of Lucas(n).

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

Michel Lagneau, Nov 14 2012

nonn

The same as A070827 from a(2) on. - R. J. Mathar, Nov 16 2012

			a(6) = 8 because Lucas(6) = 18 =  2*3^2 and the sum of the prime divisors with repetition is 2 + 2*3 = 8.

Amiram Eldar, Table of n, a(n) for n = 1..1000

Cf. A000204, A001414, A219187.

A219188 := proc(n)
    A001414(A000204(n)) ;
end proc:
seq(A219188(n),n=1..48) ; # R. J. Mathar, Nov 16 2012

f[n_] := Plus @@ Times @@@ FactorInteger@ LucasL[n]; f[1] = 0; Array[f, 60]

a(n) = A001414(A000032(n)). - Amiram Eldar, Sep 05 2019

A070828 Sum of prime factors of Catalan numbers A000108(n), n>=2, with n=0 and n=1 terms added.

Original entry on oeis.org

1, 1, 2, 5, 9, 12, 18, 27, 31, 43, 53, 58, 70, 73, 76, 99, 115, 123, 118, 148, 156, 186, 208, 212, 251, 252, 265, 309, 298, 312, 342, 395, 396, 397, 454, 472, 508, 562, 561, 570, 610, 612, 654, 663, 686, 752, 727

Offset: 0

Wolfdieter Lang, May 10 2002

a(0) := 1=: a(2) for A000108(0)= 1 = A000108(1). Sometimes a(0)= 0 =a(1) is chosen instead.

Cf. A001414 (for natural numbers), A064725 (for Fibonacci), A070827 (for Lucas).

cp's OEIS Frontend

A219188 Sum of prime divisors (with repetition) of Lucas(n).

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