A104126 a(n) = prime(n)^(prime(n)+1).

8, 81, 15625, 5764801, 3138428376721, 3937376385699289, 14063084452067724991009, 37589973457545958193355601, 480250763996501976790165756943041

Offset

1,1

Comments

Sum of reciprocals rapidly converges to 0.1374098524791901212366977116..

A182938(a(n)) = 0. [Reinhard Zumkeller, Feb 18 2012]

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..75

Mathematica

#^(#+1)&/@Prime[Range[10]] (* Harvey P. Dale, Dec 12 2021 *)

Prog

(PARI) ptopp1(n) = { local(x, y, z, sr=0); forprime(x=1, n, y=x^(x+1); z=(x+1)^x; sr+=1./y; print1(y", "); ); print(); print(sr) }
(Haskell)
a104126 n = p ^ (p + 1) where p = a000040 n
-- Reinhard Zumkeller, Feb 18 2012

Crossrefs

Cf. A051674, A000040.

Sequence in context: A304655 A100399 A022504 * A100879 A080811 A249898

Adjacent sequences: A104123 A104124 A104125 * A104127 A104128 A104129

Keyword

easy,nonn

Author

Cino Hilliard, Mar 06 2005

Extensions

Offset corrected by Reinhard Zumkeller, Feb 18 2012

Status

approved