A037872 (1/2)*Sum{|d(i)-e(i)|}, where Sum{d(i)*4^i} is base 4 representation of n and e(i) are digits d(i) in nonincreasing order, for i=0,1,...,m.

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

Offset

1,8

Links

Table of n, a(n) for n=1..90.

Maple

A037872 := proc(n)
    local a, dgs, dgsE ;
    a := 0 ;
    dgs := convert(n, base, 4);
    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

Crossrefs

Sequence in context: A280605 A362427 A218253 * A037854 A362633 A091229

Adjacent sequences: A037869 A037870 A037871 * A037873 A037874 A037875

Keyword

nonn,base

Author

Clark Kimberling

Extensions

Definition swapped with A037881. - R. J. Mathar, Oct 19 2015

Status

approved