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

Author

Vincenzo Librandi, Dec 13 2016

Keywords

• nonn

Comments

Partial sums of A180363.

Links

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

Crossrefs

Cf. A000032, A000040, A111136, A180363.

Programs

Magma

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

Mathematica

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

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)