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 A089622 a(n) = n^n + n-th prime. 1
 3, 7, 32, 263, 3136, 46669, 823560, 16777235, 387420512, 10000000029, 285311670642, 8916100448293, 302875106592294, 11112006825558059, 437893890380859422, 18446744073709551669, 827240261886336764236, 39346408075296537575485, 1978419655660313589124046 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified September 10 06:17 EDT 2024. Contains 375773 sequences. (Running on oeis4.)