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A133689 a(n) = smallest integer that is > n and is a multiple of every proper divisor of n. +0
1
3, 4, 6, 6, 12, 8, 12, 12, 20, 12, 24, 14, 28, 30, 24, 18, 36, 20, 40, 42, 44, 24, 48, 30, 52, 36, 56, 30, 60, 32, 48, 66, 68, 70, 72, 38, 76, 78, 80, 42, 84, 44, 88, 90, 92, 48, 96, 56, 100, 102, 104, 54, 108, 110, 112, 114, 116, 60 (list; graph; listen)
OFFSET

2,1

COMMENT

a(n) = A048671(n) + n.

LINKS

Leroy Quet, Home Page (listed in lieu of email address)

EXAMPLE

The proper divisors of 16 are 1,2,4,8. a(16)=24 is the smallest integer which is both > 16 and is a multiple of 1, of 2, of 4 and of 8.

MATHEMATICA

a = {}; For[n = 2, n < 60, n++, i = n + 1; While[Length[Union[Mod[i, Complement[Divisors[n], {n}]]]] > 1, i++ ]; AppendTo[a, i]]; a [From Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Aug 30 2008]

CROSSREFS

Cf. A048671.

Sequence in context: A053158 A158523 A001615 this_sequence A135510 A065967 A117986

Adjacent sequences: A133686 A133687 A133688 this_sequence A133690 A133691 A133692

KEYWORD

more,nonn

AUTHOR

Leroy Quet Dec 31 2007

EXTENSIONS

More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Aug 30 2008

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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