A037878 (1/2)*Sum{|d(i)-e(i)|}, where Sum{d(i)*10^i} is base 10 representation of n and e(i) are digits d(i) in nonincreasing order, for i=0,1,...,m.

0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 7, 6, 5, 4, 3, 2, 1, 0, 0, 0, 8, 7, 6, 5, 4, 3, 2, 1, 0, 0, 9

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base

Programs

Maple

A037878 := proc(n)
    local a,dgs,dgsE ;
    a := 0 ;
    dgs := convert(n,base,10);
    dgsE := sort(dgs,`>`) ;
    for i from 1 to nops(dgs) do
        a := a+ abs(op(i,dgs)-op(i,dgsE)) ;
    end do:
    a/2 ;
end proc: # R. J. Mathar, Oct 19 2015

Extensions

Definition swapped with A037887. - R. J. Mathar, Oct 19 2015