%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