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A179801 Count of times n appears in number created by stringing together previous n-1 integers 1
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

2 first appears for n=121; 3 first appears for n=1011; 4 first appears for n=1121; 5 first appears for n=10111. - Harvey P. Dale, Jul 22 2013

LINKS

Table of n, a(n) for n=1..101.

EXAMPLE

a(6)=0 because stringing together the first 5 integers gives the number "12345" and 6 does not appear in 12345.

a(12)=1 because stringing together the first 11 integers gives "1234567891011" and 12 appears once in 1234567891011 (right at the beginning).

MATHEMATICA

Table[idn=IntegerDigits[n]; fid=Flatten[IntegerDigits/@Range[n-1]]; Count[ Partition[ fid, Length[idn], 1], idn], {n, 0, 110}] (* Harvey P. Dale, Jul 22 2013 *)

PROG

(PHP) for($x = 1; $x <= 1000; $x++) {

echo "$x: " . substr_count($running, $x) ."<br />" ;

$running = $running . $x ;

}

CROSSREFS

Sequence in context: A297041 A070109 A107846 * A065202 A323547 A294930

Adjacent sequences:  A179798 A179799 A179800 * A179802 A179803 A179804

KEYWORD

nonn,base

AUTHOR

Dominick Cancilla, Jul 27 2010

STATUS

approved

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Last modified May 15 22:17 EDT 2021. Contains 343934 sequences. (Running on oeis4.)