cp's OEIS Frontend

A037874 (1/2)*Sum{|d(i)-e(i)|}, where Sum{d(i)*6^i} is base 6 representation of n and e(i) are digits d(i) in nonincreasing order, for i=0,1,...,m.

%I A037874 #10 Aug 05 2025 13:53:13
%S A037874 0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,3,2,1,0,0,0,4,3,2,1,0,0,5,4,3,2,1,
%T A037874 0,1,1,1,1,1,1,1,0,0,0,0,0,2,1,0,0,0,0,3,2,1,0,0,0,4,3,2,1,0,0,5,4,3,
%U A037874 2,1,0,2,2,2,2,2,2,2,1,1,1,1,1,2,1,0,0,0,0,3
%N A037874 (1/2)*Sum{|d(i)-e(i)|}, where Sum{d(i)*6^i} is base 6 representation of n and e(i) are digits d(i) in nonincreasing order, for i=0,1,...,m.
%C A037874 Starts to differ from A037856 at n=220 = 1010_6. - _R. J. Mathar_, Aug 05 2025
%p A037874 A037874 := proc(n)
%p A037874     local a,dgs,dgsE ;
%p A037874     a := 0 ;
%p A037874     dgs := convert(n,base,6);
%p A037874     dgsE := sort(dgs,`>`) ;
%p A037874     for i from 1 to nops(dgs) do
%p A037874         a := a+ abs(op(i,dgs)-op(i,dgsE)) ;
%p A037874     end do:
%p A037874     a/2 ;
%p A037874 end proc: # _R. J. Mathar_, Oct 19 2015
%K A037874 nonn,base
%O A037874 1,12
%A A037874 _Clark Kimberling_
%E A037874 Definition swapped with A037883. - _R. J. Mathar_, Oct 19 2015