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A101405 n^(pi(n-1)). +0
2
1, 1, 3, 16, 25, 216, 343, 4096, 6561, 10000, 14641, 248832, 371293, 7529536, 11390625, 16777216, 24137569, 612220032, 893871739, 25600000000, 37822859361, 54875873536, 78310985281, 2641807540224, 3814697265625, 5429503678976 (list; graph; listen)
OFFSET

1,3

COMMENT

pi(n) (A000720) is the number of prime numbers less than or equal to n.

EXAMPLE

a(5)=25 because a(5)= 5^(pi(4))= 5^2= 25

If n=10, m=4, so 10^4 = 10000.

MATHEMATICA

Table[n^PrimePi[n - 1], {n, 30}]

CROSSREFS

Cf. A000720.

Sequence in context: A101132 A091273 A132049 this_sequence A013196 A031080 A013199

Adjacent sequences: A101402 A101403 A101404 this_sequence A101406 A101407 A101408

KEYWORD

nonn

AUTHOR

Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Jan 15 2005

EXTENSIONS

Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jan 18 2005

Edited by njas at the suggestion of Andrew Plewe, Jun 16 2007

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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