A384508 Nonnegative integers k such that the digits of k include the digits of the digital sum of k as a (not necessarily contiguous) subsequence.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 109, 119, 129, 139, 149, 159, 169, 179, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 300, 400, 500, 600, 700, 800, 900, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 1000

Offset: 1

Author

Felix Huber, Jun 26 2025

Keywords

• nonn
• base
• easy

Examples

			196 is a term because 1 + 9 + 6 = 16 and 1, 6 is a subsequence of 1, 9, 6.
		

Links

• Felix Huber, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A052018, A005349, A007953, A046829.

Programs

Maple

A384508:=proc(n)
    option remember;
    local k,L;	
    if n=1 then
        0
    else
        for k from procname(n-1)+1 do
            L:=convert(k,'base',10);
            if ArrayTools:-IsSubsequence(convert(add(L),'base',10),L) then
                return k
            fi
        od
    fi;
end proc;
seq(A384508(n),n=1..58);