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A104126 a(n) = prime(n)^(prime(n)+1). 6
8, 81, 15625, 5764801, 3138428376721, 3937376385699289, 14063084452067724991009, 37589973457545958193355601, 480250763996501976790165756943041 (list; graph; refs; listen; history; text; internal format)
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

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

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Last modified March 8 13:25 EST 2021. Contains 341948 sequences. (Running on oeis4.)