A037873 (1/2)*Sum{|d(i)-e(i)|}, where Sum{d(i)*5^i} is base 5 representation of n and e(i) are digits d(i) in nonincreasing order, for i=0,1,...,m.

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

Comments

Starts to differ from A037855 at n=130 = 1010_5. - R. J. Mathar, Aug 05 2025~

Programs

Maple

A037873 := proc(n)
    local a,dgs,dgsE ;
    a := 0 ;
    dgs := convert(n,base,5);
    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 A037882. - R. J. Mathar, Oct 19 2015