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A136713 At step n the sequence lists the number of occurences of digit (n mod k), with k>0, in all the numbers from 1 to n. Case k=9. 8
1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 12, 3, 2, 2, 2, 2, 2, 2, 2, 13, 13, 4, 3, 3, 3, 3, 3, 3, 14, 14, 14, 5, 4, 4, 4, 4, 4, 15, 15, 15, 15, 6, 5, 5, 5, 5, 16, 16, 16, 16, 16, 7, 6, 6, 6, 17, 17, 17, 17, 17, 17, 8, 7, 7, 18, 18, 18, 18, 18, 18, 18, 9, 8, 19, 19, 19, 19, 19, 19, 19 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,10

LINKS

Table of n, a(n) for n=0..87.

EXAMPLE

For n=19 we have 12 because the digit (19 mod 9)=1 is present 12 times: 1, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19.

For n=20 we have 3 because the digit (20 mod 9)=2 is present 3 times: 2, 12, 20.

MAPLE

P:=proc(n, m) local a, b, c, d, i, v; v:=array(1..m); for i from 1 to m-1 do v[i]:=1; print(1); od; if m=10 then v[m]:=1; print(1); else v[m]:=0; print(0); fi; for i from m+1 by 1 to n do a:=(i mod m); for b from i-m+1 by 1 to i do d:=b; while d>0 do c:=d-(trunc(d/10)*10); d:=trunc(d/10); if c=a then if a=0 then v[m]:=v[m]+1; else v[a]:=v[a]+1; fi; fi; od; od; if a=0 then print(v[m]); else print(v[a]); fi; od; end: P(101, 9);

CROSSREFS

Cf. A136706, A136707, A136708, A136709, A136710, A136711, A136712, A136714.

Sequence in context: A325561 A076250 A231425 * A224782 A160322 A198293

Adjacent sequences:  A136710 A136711 A136712 * A136714 A136715 A136716

KEYWORD

easy,base,nonn

AUTHOR

Paolo P. Lava and Giorgio Balzarotti, Jan 18 2008

STATUS

approved

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Last modified October 21 20:44 EDT 2019. Contains 328315 sequences. (Running on oeis4.)