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A100762 Let n = 2^e_2 * 3^e_ * 5^e_ * ... be the prime factorization of n and let P(n) = A100549(n); then a(n) = Product_{ q <= P(n) } q^e_q; a(1) = 1 by convention. +0
8
1, 2, 1, 4, 1, 2, 1, 8, 9, 2, 1, 12, 1, 2, 1, 16, 1, 18, 1, 4, 1, 2, 1, 24, 1, 2, 27, 4, 1, 2, 1, 32, 1, 2, 1, 36, 1, 2, 1, 8, 1, 2, 1, 4, 9, 2, 1, 48, 1, 2, 1, 4, 1, 54, 1, 8, 1, 2, 1, 12, 1, 2, 9, 64, 1, 2, 1, 4, 1, 2, 1, 72, 1, 2, 3, 4, 1, 2, 1, 80, 81, 2, 1, 12, 1, 2, 1, 8, 1, 18, 1, 4, 1, 2, 1, 96, 1 (list; graph; listen)
OFFSET

1,2

MAPLE

# First load the procedure pp from A100549

# B = prod_{p <= pp(n)} p^e_p

B := proc(n) local v, f, pv; global pp; option remember;

pv := pp(n);

v := 1:

for f in op(2..-1, ifactors(n)) while f[1] <= pv do

v := v * f[1]^f[2];

end do;

return v;

end proc;

CROSSREFS

Cf. A100549, A100417, A141586, A082725.

Sequence in context: A079891 A108738 A064405 this_sequence A059147 A091891 A070194

Adjacent sequences: A100759 A100760 A100761 this_sequence A100763 A100764 A100765

KEYWORD

nonn

AUTHOR

David Applegate and N. J. A. Sloane (njas(AT)research.att.com), Sep 15 2008

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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