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Search: id:A065338
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A065338 a(1) = 1, a(p) = p mod 4 for p prime and a(u * v) = a(u) * a(v) for u, v > 0. +0
2
1, 2, 3, 4, 1, 6, 3, 8, 9, 2, 3, 12, 1, 6, 3, 16, 1, 18, 3, 4, 9, 6, 3, 24, 1, 2, 27, 12, 1, 6, 3, 32, 9, 2, 3, 36, 1, 6, 3, 8, 1, 18, 3, 12, 9, 6, 3, 48, 9, 2, 3, 4, 1, 54, 3, 24, 9, 2, 3, 12, 1, 6, 27, 64, 1, 18, 3, 4, 9, 6, 3, 72, 1, 2, 3, 12, 9, 6, 3, 16, 81, 2, 3, 36, 1, 6, 3, 24, 1, 18, 3 (list; graph; listen)
OFFSET

1,2
COMMENT

a(n) = (2^A007814(n)) * (3^A065339(n)). a(n) <= n. a(a(n)) = a(n). a(x) = x iff x = 2^i * 3^j for i, j >= 0. a(A003586(n)) = A003586(n). a(A065331(n)) = A065331(n).

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

EXAMPLE

a(120) = a(2*2*2*3*5) = a(2)*a(2)*a(2)*a(3)*a(5) = 2*2*2*3*1 = 24. a(150) = a(2*3*5*5) = a(2)*a(3)*a(5)*a(5) = 2*3*1*1 = 6. a(210) = a(2*3*5*7) = a(2)*a(3)*a(5)*a(7) = 2*3*1*3 = 18.

CROSSREFS

A039702, A000040, A003586, A007814, A065339, A065331.

Sequence in context: A082119 A129708 A071518 this_sequence A001438 A105587 A049073

Adjacent sequences: A065335 A065336 A065337 this_sequence A065339 A065340 A065341

KEYWORD

mult,nice,nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Oct 29 2001

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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