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A037856 Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*6^i: i=0,1,...,m} is base 6 representation of n.

%I A037856 #12 Apr 18 2022 12:16:14
%S A037856 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 A037856 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 A037856 2,1,0,2,2,2,2,2,2,2,1,1,1,1,1,2,1,0,0,0,0,3
%N A037856 Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*6^i: i=0,1,...,m} is base 6 representation of n.
%H A037856 Harvey P. Dale, <a href="/A037856/b037856.txt">Table of n, a(n) for n = 1..1000</a>
%p A037856 A037856 := proc(n)
%p A037856     a := 0 ;
%p A037856     dgs := convert(n,base,6);
%p A037856     for i from 2 to nops(dgs) do
%p A037856         if op(i,dgs)>op(i-1,dgs) then
%p A037856             a := a+op(i,dgs)-op(i-1,dgs) ;
%p A037856         end if;
%p A037856     end do:
%p A037856     a ;
%p A037856 end proc: # _R. J. Mathar_, Oct 19 2015
%t A037856 Table[Total[Abs[Select[Differences[IntegerDigits[n,6]],#<0&]]],{n,100}] (* _Harvey P. Dale_, Apr 18 2022 *)
%K A037856 nonn,base
%O A037856 1,12
%A A037856 _Clark Kimberling_
%E A037856 Definition swapped with A037847. - _R. J. Mathar_, Oct 19 2015