A279482 Sum of the first n Lucas numbers whose indices are prime.

3, 7, 18, 47, 246, 767, 4338, 13687, 77766, 1227617, 4237966, 58256487, 428504938, 1397827967, 8041666846, 127260518217, 2266556004016, 7867304297817, 108368654581246, 797215157169645, 2600638713977566, 34961761386236715, 256768195924215394

Offset

1,1

Comments

Partial sums of A180363.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..500

Formula

From Jon E. Schoenfield, Dec 18 2016: (Start)

a(n) = Sum_{i=1..n} A180363(i).

a(n) = Sum_{i=1..n} A000032(A000040(i)). (End)

Mathematica

Accumulate[LucasL[Prime[Range[25]]]]

Prog

(Magma) [&+[Lucas(NthPrime(i)): i in [1..n]]: n in [1..30]];

Crossrefs

Cf. A000032, A000040, A111136, A180363.

Sequence in context: A018028 A045994 A101308 * A018029 A099483 A225034

Adjacent sequences: A279479 A279480 A279481 * A279483 A279484 A279485

Keyword

nonn

Author

Vincenzo Librandi, Dec 13 2016

Status

approved