

A066842


a(n) = Product_{kn} k^k; product is over the positive divisors, k, of n.


1



1, 4, 27, 1024, 3125, 5038848, 823543, 17179869184, 10460353203, 125000000000000, 285311670611, 11501279977342425366528, 302875106592253, 36604861748562100682752, 36947297000885009765625
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OFFSET

1,2


LINKS

Harry J. Smith, Table of n, a(n) for n = 1..100


EXAMPLE

a(6) = 1^1 * 2^2 * 3^3 * 6^6 = 5038848 because 1, 2, 3 and 6 are the divisors of 6.


PROG

(PARI) { for (n=1, 100, d=divisors(n); p=1; for (i=2, length(d), k=d[i]; p*=k^k); write("b066842.txt", n, " ", p) ) } \\ Harry J. Smith, Apr 01 2010


CROSSREFS

Sequence in context: A104168 A197990 A068327 * A133032 A271385 A110763
Adjacent sequences: A066839 A066840 A066841 * A066843 A066844 A066845


KEYWORD

nonn


AUTHOR

Leroy Quet, Jan 20 2002


STATUS

approved



