A089620 a(n) = n^3 + prime(n).

3, 11, 32, 71, 136, 229, 360, 531, 752, 1029, 1362, 1765, 2238, 2787, 3422, 4149, 4972, 5893, 6926, 8071, 9334, 10727, 12250, 13913, 15722, 17677, 19786, 22059, 24498, 27113, 29918, 32899, 36074, 39443, 43024, 46807, 50810, 55035, 59486, 64173

Offset

1,1

Comments

Sum of reciprocals = 0.492721804...

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Formula

a(n) = A000578(n) + A000040(n). - Amiram Eldar, Jul 12 2024

Mathematica

Table[n^3+Prime[n], {n, 40}] (* Harvey P. Dale, Aug 22 2011 *)

Prog

(PARI) primeppwr(n, p) = { sr=0; for(x=1, n, y=x^p+prime(x); print1(y", "); sr+=1./y; ); print(); print(sr) }

Crossrefs

Cf. A000040, A000578.

Sequence in context: A319335 A104079 A332264 * A144335 A202091 A120844

Adjacent sequences: A089617 A089618 A089619 * A089621 A089622 A089623

Keyword

easy,nonn

Author

Cino Hilliard, Dec 31 2003

Status

approved