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A062509 n^[number of distinct prime factors of n] (A001221). 1
1, 2, 3, 4, 5, 36, 7, 8, 9, 100, 11, 144, 13, 196, 225, 16, 17, 324, 19, 400, 441, 484, 23, 576, 25, 676, 27, 784, 29, 27000, 31, 32, 1089, 1156, 1225, 1296, 37, 1444, 1521, 1600, 41, 74088, 43, 1936, 2025, 2116, 47, 2304, 49, 2500, 2601, 2704, 53, 2916 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,1000

EXAMPLE

n=30, a(30)=30^3=27000 n=72, a(72)=72^2=5184. Not always equal to product of unitary divisors of n [compare with A061537]. This deviates from A061537 at 30,42,60,66, etc.

PROG

(PARI) { for (n=1, 1000, write("b062509.txt", n, " ", n^omega(n)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 08 2009]

CROSSREFS

Cf. A001221, A061537, A034444, A000005, A033992.

Sequence in context: A004845 A124128 A037401 * A061537 A056925 A060067

Adjacent sequences:  A062506 A062507 A062508 * A062510 A062511 A062512

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jul 13 2001

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Last modified February 14 21:49 EST 2012. Contains 205663 sequences.