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A057110 Difference between largest prime power factor of n and the smallest number S(n) with S(n)! a multiple of n [taking a(1)=0]. 1
0, 0, 0, 0, 0, 0, 0, 4, 3, 0, 0, 0, 0, 0, 0, 10, 0, 3, 0, 0, 0, 0, 0, 4, 15, 0, 18, 0, 0, 0, 0, 24, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 10, 35, 15, 0, 0, 0, 18, 0, 1, 0, 0, 0, 0, 0, 0, 2, 56, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 15, 0, 0, 0, 0, 10, 72, 0, 0, 0, 0, 0, 0, 0, 0, 4 (list; graph; refs; listen; history; internal format)
OFFSET

1,8

FORMULA

a(n) =A034699(n)-A002034(n)

EXAMPLE

a(18)=3 since 18 is a factor of 6!, 9 is the largest prime power factor of 18 and 9-6=3

CROSSREFS

Cf. A057108, A057111.

Sequence in context: A118202 A089331 A125856 * A073275 A030120 A058878

Adjacent sequences:  A057107 A057108 A057109 * A057111 A057112 A057113

KEYWORD

easy,nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Aug 08 2000

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.