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A054055 Largest digit of n. 91
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 2, 2, 2, 3, 4, 5, 6, 7, 8, 9, 3, 3, 3, 3, 4, 5, 6, 7, 8, 9, 4, 4, 4, 4, 4, 5, 6, 7, 8, 9, 5, 5, 5, 5, 5, 5, 6, 7, 8, 9, 6, 6, 6, 6, 6, 6, 6, 7, 8, 9, 7, 7, 7, 7, 7, 7, 7, 7, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 1, 2, 3, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

A095815(n) = n + a(n). - Reinhard Zumkeller, Aug 23 2011

a(A007088(n)) = 1, n > 0; a(A136399(n)) > 1. - Reinhard Zumkeller, Apr 25 2012

a(n) = 9 for almost all n. Sum_{n < x} a(n) = 9x + O(.956^x). - Charles R Greathouse IV, Oct 02 2013

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

EXAMPLE

a(12)=2 because 1 < 2.

MAPLE

[seq(max(convert(n, base, 10)), n=0..120)];

MATHEMATICA

f[n_] := Sort[IntegerDigits[n]][[-1]]; Array[f, 105, 0] (* Alonso del Arte, May 14 2011 *) (* and revised by Robert G. Wilson v, Aug 24 2011 *)

Max/@IntegerDigits[Range[0, 110]] (* Harvey P. Dale, Apr 17 2016 *)

PROG

(Haskell)

a054055 = f 0 where

   f m x | x <= 9 = max m x

         | otherwise = f (max m d) x' where (x', d) = divMod x 10

-- Reinhard Zumkeller, Jun 20 2012, May 14 2011

(PARI) a(n)=vecmax(eval(Vec(Str(n)))) \\ Charles R Greathouse IV, Jun 16 2011

(PARI) a(n)=vecmax(digits(n)) \\ Charles R Greathouse IV, Oct 02 2013

(MAGMA) [n eq 0 select 0 else Maximum(Intseq(n)): n in [0..104]];  // Bruno Berselli, Aug 24 2011

CROSSREFS

For bases 3 through 12 see A190592, A190593, A190594, A190595, A190596, A190597, A190598, A054055, A190599, A190600.

Cf. A054054.

Sequence in context: A065881 A133048 A214950 * A067456 A052429 A051802

Adjacent sequences:  A054052 A054053 A054054 * A054056 A054057 A054058

KEYWORD

base,easy,nonn,look

AUTHOR

Henry Bottomley, Apr 29 2000

STATUS

approved

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Last modified October 20 07:17 EDT 2018. Contains 316378 sequences. (Running on oeis4.)