A089622 a(n) = n^n + n-th prime.

3, 7, 32, 263, 3136, 46669, 823560, 16777235, 387420512, 10000000029, 285311670642, 8916100448293, 302875106592294, 11112006825558059, 437893890380859422, 18446744073709551669, 827240261886336764236, 39346408075296537575485, 1978419655660313589124046

Offset

1,1

Comments

Sum of reciprocals = 0.51158433914035778198539668456352160045247631333773...

Links

Table of n, a(n) for n=1..19.

Formula

a(n) = A000312(n) + A000040(n). - Amiram Eldar, Jun 26 2024

Mathematica

Table[n^n + Prime[n], {n, 1, 25}] (* Amiram Eldar, Jun 26 2024 *)

Prog

(PARI) primeppwr2(n) = { my(y, sr=0); for(x=1, n, y=x^x+prime(x); print1(y", "); sr+=1./y; ); print(); print(sr) }

Crossrefs

Cf. A000040, A000312.

Sequence in context: A096239 A074699 A115088 * A241147 A143967 A007646

Adjacent sequences: A089619 A089620 A089621 * A089623 A089624 A089625

Keyword

easy,nonn

Author

Cino Hilliard, Dec 31 2003

Extensions

a(18)-a(19) from Amiram Eldar, Jun 26 2024

Status

approved