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A054054
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Smallest digit of n.
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49
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 3, 3, 3, 3, 3, 3, 3, 0, 1, 2, 3, 4, 4, 4, 4, 4, 4, 0, 1, 2, 3, 4, 5, 5, 5, 5, 5, 0, 1, 2, 3, 4, 5, 6, 6, 6, 6, 0, 1, 2, 3, 4, 5, 6, 7, 7, 7, 0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 0, 0, 0, 0
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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COMMENTS
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More precisely, a(n) = 0 asymptotically almost surely, i.e., except for a set of density 0: As the number of digits of n grows, the probability of having no zero digit goes to zero as 0.9^(length of n), although there are infinitely many counterexamples. - M. F. Hasler, Oct 11 2015
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LINKS
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FORMULA
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EXAMPLE
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a(12) = 1 because 1 < 2.
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MAPLE
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seq(min(convert(n, base, 10)), n=0..100); # Robert Israel, Jul 07 2016
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MATHEMATICA
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PROG
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(Haskell)
a054054 = f 9 where
f m x | x <= 9 = min m x
| otherwise = f (min m d) x' where (x', d) = divMod x 10
(PARI) A054054(n)=if(n, vecmin(digits(n))) \\ or: Set(digits(n))[1]. - M. F. Hasler, Jan 23 2013
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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