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A096068 Concatenated in binary representation: largest proper divisor of n and smallest prime factor of n. +0
1
3, 6, 7, 10, 13, 14, 15, 18, 15, 22, 27, 26, 29, 30, 23, 34, 49, 38, 51, 42, 31, 46, 55, 50, 45, 54, 39, 58, 61, 62, 63, 66, 47, 70, 61, 74, 101, 78, 55, 82, 105, 86, 107, 90, 63, 94, 111, 98, 63, 102, 71, 106, 117, 110, 93, 114, 79, 118, 123, 122, 125, 126, 87, 130, 109 (list; graph; listen)
OFFSET

1,1

COMMENT

a(n)=A020639(n)*A000079((A000523(A020639(n))+1))+A020639(n);

a(A000040(n))=A000079((A000523(A000040(n))+1))+A000040(n);

a(A005843(n))=A005843(A005408(n)); a(A000225(n))=A000225(n+1); a(A000079(n))=A052548(n+1).

EXAMPLE

n=99: smallest factor = 3->'11' and greatest proper divisor =

99/3 = 33->'100001': '10001'&'11'='10000111'->a(99)=135.

CROSSREFS

Sequence in context: A096604 A008912 A101885 this_sequence A045412 A047281 A100468

Adjacent sequences: A096065 A096066 A096067 this_sequence A096069 A096070 A096071

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jul 21 2004

page 1

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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