A083466 Smallest nontrivial multiple of n ending in n. By nontrivial one means a(n) is not equal to n or concatenation of n with itself.

21, 12, 63, 24, 15, 36, 147, 48, 189, 110, 2211, 312, 2613, 714, 315, 416, 3417, 918, 3819, 120, 4221, 1122, 4623, 624, 125, 1326, 5427, 728, 5829, 330, 6231, 832, 6633, 1734, 735, 936, 7437, 1938, 7839, 240, 8241, 2142, 8643, 1144, 945

Offset

1,1

Links

Table of n, a(n) for n=1..45.

Maple

A083466 := proc(n)
    ndgs := convert(n, base, 10) ;
    for k from 2 do
        if k*n <> digcat2(n, n) then
            kdgs := convert(k*n, base, 10) ;
            mtch := true ;
            for i from 1 to nops(ndgs) do
                if op(i, ndgs) <> op(i, kdgs) then
                    mtch := false;
                    break;
                end if;
            end do:
            if mtch then
                return k*n ;
            end if;
        end if;
    end do:
end proc: # R. J. Mathar, Aug 23 2014

Crossrefs

Sequence in context: A166033 A228092 A071262 * A307312 A120742 A118296

Adjacent sequences: A083463 A083464 A083465 * A083467 A083468 A083469

Keyword

base,easy,nonn

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 02 2003

Extensions

More terms from R. J. Mathar, Aug 23 2014

Status

approved