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A039690
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Ambitious numbers: numbers n with the property that if a number ends in n then it is divisible by n.
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1
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1, 2, 5, 10, 20, 25, 50, 100, 125, 200, 250, 500, 1000, 1250, 2000, 2500, 5000, 10000, 12500, 20000, 25000, 50000, 100000, 125000, 200000, 250000, 500000, 1000000, 1250000, 2000000, 2500000, 5000000, 10000000, 12500000, 20000000, 25000000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Number whose 10's complement is a multiple of it. 125 is a member as its 10's complement is 1000-125 = 875= 125*7 - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 08 2002
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REFERENCES
| P. J. Davis and R. Hersh, The Mathematical Experience, Birkhaeuser, Boston and Basel, 1981; see pp. 293-298.
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LINKS
| Problem of the week, Web site - problem 881
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FORMULA
| Consists of the numbers 1, 2, 5, 25 or 125 times a power of 10.
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EXAMPLE
| If a number ends in 2 then it is even and so is divisible by 2, so 2 is in the sequence.
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CROSSREFS
| Cf. A039690.
Sequence in context: A016029 A018327 A000099 * A126105 A117486 A000710
Adjacent sequences: A039687 A039688 A039689 * A039691 A039692 A039693
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KEYWORD
| nonn
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AUTHOR
| Erich Friedman (erich.friedman(AT)stetson.edu)
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EXTENSIONS
| Entry revised by N. J. A. Sloane (njas(AT)research.att.com), Aug 03 2004
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