cp's OEIS Frontend

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.

%I A037873 #10 Aug 05 2025 13:53:27
%S A037873 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,
%T A037873 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,
%U A037873 0,4,3,2,1,0,3,3,3,3,3,3,2,2,2,2,3,2,1,1,1,3
%N 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.
%C A037873 Starts to differ from A037855 at n=130 = 1010_5. - _R. J. Mathar_, Aug 05 2025~
%p A037873 A037873 := proc(n)
%p A037873     local a,dgs,dgsE ;
%p A037873     a := 0 ;
%p A037873     dgs := convert(n,base,5);
%p A037873     dgsE := sort(dgs,`>`) ;
%p A037873     for i from 1 to nops(dgs) do
%p A037873         a := a+ abs(op(i,dgs)-op(i,dgsE)) ;
%p A037873     end do:
%p A037873     a/2 ;
%p A037873 end proc: # _R. J. Mathar_, Oct 19 2015
%K A037873 nonn,base
%O A037873 1,10
%A A037873 _Clark Kimberling_
%E A037873 Definition swapped with A037882. - _R. J. Mathar_, Oct 19 2015