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A101405 a(n) = n^(pi(n-1)). 1
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; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

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

LINKS

Table of n, a(n) for n=1..26.

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: A153723 A091273 A256931 * A193367 A322413 A298873

Adjacent sequences:  A101402 A101403 A101404 * A101406 A101407 A101408

KEYWORD

nonn

AUTHOR

Parthasarathy Nambi, Jan 15 2005

EXTENSIONS

Extended by Ray Chandler, Jan 18 2005

Edited by N. J. A. Sloane at the suggestion of Andrew S. Plewe, Jun 16 2007

STATUS

approved

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Last modified January 27 21:52 EST 2020. Contains 331300 sequences. (Running on oeis4.)