A037883 a(n)=(1/2)*Sum{|d(i)-e(i)|} where Sum{d(i)*6^i} is the base 6 representation of n and e(i) are the digits d(i) in nondecreasing order.

0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 0, 0, 0, 1, 2, 3, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 0, 0, 1, 2, 3, 4, 1, 1, 1, 2, 3, 4, 2, 2, 2, 2, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 0, 1, 2, 3, 4, 5, 0, 0, 1, 2, 3, 4, 0, 0, 0, 1, 2, 3, 1

Offset

1,9

Links

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

Maple

A037883 := proc(n)
    local a, dgs, dgsE ;
    a := 0 ;
    dgs := convert(n, base, 6);
    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: A116889 A347716 A037847 * A350775 A330267 A023868

Adjacent sequences: A037880 A037881 A037882 * A037884 A037885 A037886

Keyword

nonn,base

Author

Clark Kimberling

Extensions

Definition swapped with A037874. - R. J. Mathar, Oct 19 2015

Status

approved