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A120004 Number of distinct numbers as substrings of n in decimal representation. 3
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 4, 4, 5, 5, 5, 5 (list; graph; refs; listen; history; internal format)
OFFSET

0,11

COMMENTS

a(n) = A079790(n) for n <= 100;

a(A120005(n)) = n and a(m) < n for m < A120005(n).

LINKS

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

EXAMPLE

n=101: {'1','0','10','01','101'} -> a(101)=#{0,1,10,101}=4;

n=102: {'1','0','2','10','02','102'} -> a(102)=#{0,1,2,10,102}=5.

PROG

(Haskell)

import Data.List (isInfixOf)

a120004 n = length $ filter ((`isInfixOf` show n) . show) [0..n]

-- Reinhard Zumkeller, Aug 14 2011

CROSSREFS

Cf. A119999.

Sequence in context: A114451 A142246 A080428 * A079790 A098726 A065801

Adjacent sequences:  A120001 A120002 A120003 * A120005 A120006 A120007

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 15 2006

EXTENSIONS

Offset changed and a(0)=1 inserted, in consequence of Zak Seidov's correction in A120005. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 30 2010

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.