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A059175 For a rational number p/q let f(p/q) = p*q divided by the sum of digits of p and q; a(n) is obtained by iterating f, starting at n/1, until an integer is reached, or if no integer is ever reached then a(n) = 0. +0
4
0, 66, 66, 462, 180, 66, 31395, 714, 72, 9, 5, 15, 3, 36, 42, 39, 2, 9, 45, 462, 12, 12, 90, 3703207920, 1692600, 84, 234, 27, 3043425, 74613, 6, 7930296, 264, 4290, 510, 315, 315, 73302369360, 1155, 3, 8, 239872017, 6, 4386, 1989, 18, 17740866, 499954980 (list; graph; listen)
OFFSET

0,2

EXAMPLE

3/1 -> 3/4 -> 12/7 -> 84/10=42/5 -> 210/11 -> 2310/5 = 462 so a(3)=462.

CROSSREFS

Cf. A058971.

Sequence in context: A008896 A071712 A080592 this_sequence A031960 A124142 A015926

Adjacent sequences: A059172 A059173 A059174 this_sequence A059176 A059177 A059178

KEYWORD

base,easy,nonn,nice

AUTHOR

Floor van Lamoen (fvlamoen(AT)hotmail.com), Jan 15 2001

EXTENSIONS

Corrected and extended by Naohiro Nomoto (6284968128(AT)geocities.co.jp), Jul 20 2001

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Last modified November 23 10:40 EST 2009. Contains 167421 sequences.


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