cp's OEIS Frontend

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.

%I A037878 #8 Oct 19 2015 14:33:43
%S A037878 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,
%T A037878 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,
%U A037878 0,7,6,5,4,3,2,1,0,0,0,8,7,6,5,4,3,2,1,0,0,9
%N 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.
%p A037878 A037878 := proc(n)
%p A037878     local a,dgs,dgsE ;
%p A037878     a := 0 ;
%p A037878     dgs := convert(n,base,10);
%p A037878     dgsE := sort(dgs,`>`) ;
%p A037878     for i from 1 to nops(dgs) do
%p A037878         a := a+ abs(op(i,dgs)-op(i,dgsE)) ;
%p A037878     end do:
%p A037878     a/2 ;
%p A037878 end proc: # _R. J. Mathar_, Oct 19 2015
%K A037878 nonn,base
%O A037878 1,20
%A A037878 _Clark Kimberling_
%E A037878 Definition swapped with A037887. - _R. J. Mathar_, Oct 19 2015