A136707 - OEIS

A136707

At step n the sequence lists the number of occurrences of digit (n mod k), with k>0, in all the numbers from 1 to n. Case k=3.

1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 6, 2, 1, 9, 2, 1, 12, 3, 2, 13, 7, 2, 13, 10, 2, 13, 13, 3, 14, 14, 3, 14, 14, 3, 14, 14, 3, 14, 14, 4, 15, 15, 4, 15, 15, 4, 15, 15, 5, 16, 16, 5, 16, 16, 5, 16, 16, 6, 17, 17, 6, 17, 17, 6, 17, 17, 6, 17, 17, 7, 18, 18, 7, 18, 18, 7, 18, 18, 8, 19, 19

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,10

LINKS

Table of n, a(n) for n=0..82.

EXAMPLE

For n=13 we have 6 because the digit (13 mod 2)=1 is present 6 times: 1, 10, 11, 12, 13.

For n=20 we have 3 because the digit (20 mod 3)=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, 3);

CROSSREFS

Cf. A136706, A136708, A136709, A136710, A136711, A136712, A136713, A136714.

Sequence in context: A178249 A119502 A142156 * A179972 A085826 A112477

Adjacent sequences: A136704 A136705 A136706 * A136708 A136709 A136710

KEYWORD

easy,base,nonn

AUTHOR

Paolo P. Lava and Giorgio Balzarotti, Jan 18 2008

STATUS

approved