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A097569 Right-truncatable Harshad numbers (zeros not permitted). +0
3
1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 18, 21, 24, 27, 36, 42, 45, 48, 54, 63, 72, 81, 84, 126, 216, 243, 247, 364, 423, 481, 486, 846, 2478, 8463, 24786 (list; graph; listen)
OFFSET

1,2

COMMENT

Harshad numbers in which repeatedly deleting the rightmost digit gives a Harshad at every step until a single digit Harshad remains. Sequence is finite with 24786 being the last term.

24786 can be proved to be the last term by a genetic approach (constructing the whole tree). - C. Rivera (crivera(AT)primepuzzles.net), Sep 19 2004

CROSSREFS

Cf. A005349.

Sequence in context: A079042 A114440 A097518 this_sequence A095160 A059043 A138141

Adjacent sequences: A097566 A097567 A097568 this_sequence A097570 A097571 A097572

KEYWORD

base,nonn,fini,full

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Aug 28 2004

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Last modified March 19 13:18 EDT 2010. Contains 173632 sequences.


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