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A285054 Numbers whose sum of digits are congruent (mod 10) to the string 1,2, ..., 9. 1
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 29, 20, 21, 22, 23, 24, 25, 26, 27, 38, 39, 30, 31, 32, 33, 34, 35, 36, 47, 48, 49, 40, 41, 42, 43, 44, 45, 56, 57, 58, 59, 50, 51, 52, 53, 54, 65, 66, 67, 68, 69, 60, 61, 62, 63, 74, 75, 76, 77, 78, 79, 70, 71, 72, 83 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) is the smallest term not yet in the sequences such that A007953(a(n)) == A010888(n) (mod 10). - R. J. Mathar, Oct 05 2017

LINKS

Table of n, a(n) for n=1..73.

EXAMPLE

The first string is 1,2,...,9; the second string goes from 10 to 18 since 1+0 is congruent to 1 (mod 10) and 1+8 is congruent to 9 (mod 10); the third string goes from 29 to 27 since 2+9 is congruent to 1 (mod 10) and 2+7 is congruent to 9 (mod 10), etc.

MAPLE

A285054 := proc(n)

    option remember;

    local a, i, known ;

    if n = 1 then

        1;

    else

        for a from 2 do

            known := false ;

            for i from 1 to n-1 do

                if procname(i) = a then

                    known := true;

                    break;

                end if;

            end do:

            if not known then

                if modp(digsum(a), 10) = A010888(n) then

                    return a;

                end if;

            end if;

        end do:

    end if;

end proc:

seq(A285054(n), n=1..200) ; # R. J. Mathar, Oct 05 2017

CROSSREFS

Sequence in context: A255408 A269172 A302026 * A090322 A076084 A151764

Adjacent sequences:  A285051 A285052 A285053 * A285055 A285056 A285057

KEYWORD

nonn,base

AUTHOR

Enrique Navarrete, Sep 11 2017

STATUS

approved

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Last modified April 20 14:27 EDT 2019. Contains 322310 sequences. (Running on oeis4.)