A037855 Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*5^i: i=0,1,...,m} is base 5 representation of n.

0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 3, 2, 1, 0, 0, 4, 3, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 3, 2, 1, 0, 0, 4, 3, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 3, 2, 1, 0, 0, 4, 3, 2, 1, 0, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 2, 1, 1, 1, 3

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base

Programs

Maple

A037855 := proc(n)
    a := 0 ;
    dgs := convert(n,base,5);
    for i from 2 to nops(dgs) do
        if op(i,dgs)>op(i-1,dgs) then
            a := a+op(i,dgs)-op(i-1,dgs) ;
        end if;
    end do:
    a ;
end proc: # R. J. Mathar, Oct 19 2015

Extensions

Definition swapped with A037846. - R. J. Mathar, Oct 19 2015