A104127 (1+prime(n))^prime(n).

9, 64, 7776, 2097152, 743008370688, 793714773254144, 2185911559738696531968, 5242880000000000000000000, 55572324035428505185378394701824, 6863037736488300000000000000000000000000000

Offset

1,1

Comments

Sum of reciprocals rapidly converges to 0.1268651887726617214821302614..

Links

Table of n, a(n) for n=1..10.

Mathematica

(1+#)^#&/@Prime[Range[20]] (* Harvey P. Dale, Nov 19 2015 *)

Prog

(PARI) ptopp1(n) = { local(x, z, sr=0); forprime(x=1, n, z=(x+1)^x; sr+=1./z; print1(z", "); ); print(); print(sr) }
(Maxima) A104127(n) := block(
        return((1+A000040(n))^A000040(n))
  )$
  for n : 1 thru 20 do printf(true, "~d, ", A104127(n)) ; /* R. J. Mathar, Feb 27 2012 */

Crossrefs

Sequence in context: A351591 A217872 A067961 * A043426 A038484 A043021

Adjacent sequences: A104124 A104125 A104126 * A104128 A104129 A104130

Keyword

easy,nonn

Author

Cino Hilliard, Mar 06 2005

Extensions

Definition (which equaled A078422) corrected and dummy variables in PARI program removed by R. J. Mathar, Oct 23 2009

Status

approved