A037882 a(n)=(1/2)*Sum{|d(i)-e(i)|} where Sum{d(i)*5^i} is the base 5 representation of n and e(i) are the digits d(i) in nondecreasing order.

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

Offset

1,8

Links

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

Maple

A037882 := 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

Crossrefs

Sequence in context: A056966 A362363 A037846 * A024865 A025109 A348710

Adjacent sequences: A037879 A037880 A037881 * A037883 A037884 A037885

Keyword

nonn,base

Author

Clark Kimberling

Extensions

Definition swapped with A037873. - R. J. Mathar, Oct 19 2015

Status

approved