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A072965 In prime factorization of n replace all matching twin prime pairs by 1, where (3,5)-matches are replaced before (5,7). +0
3
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 1, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 2, 31, 32, 33, 34, 1, 36, 37, 38, 39, 40, 41, 42, 43, 44, 3, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 4, 61, 62, 63, 64, 65, 66, 67, 68, 69, 2, 71, 72, 73, 74 (list; graph; listen)
OFFSET

1,2

COMMENT

a(a(n)) = a(n); a(A037074(n)) = 1.

a(n) = 1 iff n = A074480(k) for some k.

a(n) mod A037074(k) > 0 for all k. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 29 2008

LINKS

R. Zumkeller, Table of n, a(n) for n = 1..10000

EXAMPLE

a(30)=a(2*3*5)=2*1=2; a(105)=a(3*5*7)=1*7=7; a(143)=a(11*13)=1; a(225)=a(3*3*5*5)=a(3*5)*(3*5))=1*1=1; a(525)=a(3*5*5*7)=a((3*5)*(5*7))=1*1=1.

CROSSREFS

Cf. A001359, A006512, A000040.

Sequence in context: A080331 A167463 A053835 this_sequence A043274 A124196 A139179

Adjacent sequences: A072962 A072963 A072964 this_sequence A072966 A072967 A072968

KEYWORD

nonn,nice

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 20 2002

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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