login
a(n) = n^n + n-th prime.
1

%I #7 Jun 26 2024 04:36:39

%S 3,7,32,263,3136,46669,823560,16777235,387420512,10000000029,

%T 285311670642,8916100448293,302875106592294,11112006825558059,

%U 437893890380859422,18446744073709551669,827240261886336764236,39346408075296537575485,1978419655660313589124046

%N a(n) = n^n + n-th prime.

%C Sum of reciprocals = 0.51158433914035778198539668456352160045247631333773...

%F a(n) = A000312(n) + A000040(n). - _Amiram Eldar_, Jun 26 2024

%t Table[n^n + Prime[n], {n, 1, 25}] (* _Amiram Eldar_, Jun 26 2024 *)

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

%Y Cf. A000040, A000312.

%K easy,nonn

%O 1,1

%A _Cino Hilliard_, Dec 31 2003

%E a(18)-a(19) from _Amiram Eldar_, Jun 26 2024