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A102827 "True already", base 10, start 1: a(n) is the least integer such that the sequence up to a(n-1) written in base 10 contains floor(a(n)/10) copies of the digit a(n) % 10, with a(0) = 1. 1
1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27, 28, 29, 33, 34, 35, 36, 37, 38, 39, 44, 45, 46, 47, 48, 49, 55, 56, 57, 58, 59, 66, 67, 68, 69, 77, 78, 79, 88, 89, 99, 111, 112, 113, 114, 115, 116, 117, 118, 119, 122, 123, 124, 125, 126, 127, 128, 129, 133 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Conjecture: this sequence in various bases never includes a term divisible by the base.

REFERENCES

Inspired by discussion of "True so far" from Eric Angelini (A102357).

LINKS

Table of n, a(n) for n=0..71.

EXAMPLE

The first 9 values of the sequence written in decimal include no '0's and 1 '1', so the next value cannot be 10 (the count of '0's is not 1) but can be 11.

MAPLE

A102827aux := proc(n, dig)

    local c, d ;

    c := 0 ;

    for d in convert(n, base, 10) do

        if d = dig then

            c := c+1 ;

        end if;

    end do:

    c ;

end proc:

A102827 := proc(n)

    option remember;

    local a, a10, ad, cum;

    if n < 8 then

        return n+1 ;

    end if;

    for a from 1 do

        a10 := floor(a/10) ;

        ad := a mod 10 ;

        cum := add( A102827aux(procname(i), ad), i=0..n-1) ;

        if cum = a10 then

            return a;

        end if;

    end do:

end proc: # R. J. Mathar, Mar 30 2014

CROSSREFS

Cf. A102823-A102830, A102357.

Sequence in context: A072544 A009994 A239016 * A190221 A239215 A055571

Adjacent sequences:  A102824 A102825 A102826 * A102828 A102829 A102830

KEYWORD

nonn,easy,base

AUTHOR

Hugo van der Sanden, Feb 26 2005

STATUS

approved

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Last modified August 5 04:03 EDT 2021. Contains 346457 sequences. (Running on oeis4.)