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A099208 In canonical prime-factorization of n replace prime(k)^e by prime(k+e-1). +0
2
1, 2, 3, 3, 5, 6, 7, 5, 5, 10, 11, 9, 13, 14, 15, 7, 17, 10, 19, 15, 21, 22, 23, 15, 7, 26, 7, 21, 29, 30, 31, 11, 33, 34, 35, 15, 37, 38, 39, 25, 41, 42, 43, 33, 25, 46, 47, 21, 11, 14, 51, 39, 53, 14, 55, 35, 57, 58, 59, 45, 61, 62, 35, 13, 65, 66, 67, 51, 69, 70, 71, 25, 73, 74 (list; graph; listen)
OFFSET

1,2

COMMENT

a(n)<=n; a(n)=n iff n is a square-free number: a(A005117(n))=A005117(n) and a(A013929(n))<A013929(n);

A099209 = a(a(n)).

EXAMPLE

a(75) = a(3^1 * 5^2) =

A000040(A049084(3)+1-1)*A000040(A049084(5)+2-1) =

A000040(2+1-1)*A000040(3+2-1) = A000040(2)*A000040(4) = 3*7 = 21.

CROSSREFS

Adjacent sequences: A099205 A099206 A099207 this_sequence A099209 A099210 A099211

Sequence in context: A094585 A003967 A099209 this_sequence A052274 A085314 A085310

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 05 2004

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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