A136708 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=4.

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

Offset

0,13

Links

Table of n, a(n) for n=0..81.

Example

For n=13 we have 6 because the digit (13 mod 4)=1 is present 6 times: 1, 10, 11, 12, 13.
For n=19 we have 2 because the digit (19 mod 4)=3 is present twice: 3, 13.

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, 4);

Crossrefs

Cf. A136706, A136707, A136709, A136710, A136711, A136712, A136713, A136714.

Sequence in context: A141473 A068931 A061666 * A020795 A136710 A276801

Adjacent sequences: A136705 A136706 A136707 * A136709 A136710 A136711

Keyword

easy,base,nonn

Author

Paolo P. Lava and Giorgio Balzarotti, Jan 18 2008

Status

approved