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A037835 Sum{|d(i)-d(i-1)|: i=0,1,...,m}, where Sum{d(i)*3^i: i=0,1,...,m} is base 3 representation of n.

%I A037835 #10 Jan 20 2018 11:11:39
%S A037835 0,0,1,0,1,2,1,0,1,2,3,1,0,1,3,2,1,2,3,4,2,1,2,2,1,0,1,2,3,3,2,3,5,4,
%T A037835 3,1,2,3,1,0,1,3,2,1,3,4,5,3,2,3,3,2,1,2,3,4,4,3,4,6,5,4,2,3,4,2,1,2,
%U A037835 4,3,2,2,3,4,2,1,2,2,1,0,1,2,3,3,2,3,5,4,3,3
%N A037835 Sum{|d(i)-d(i-1)|: i=0,1,...,m}, where Sum{d(i)*3^i: i=0,1,...,m} is base 3 representation of n.
%C A037835 This is the base-3 total variation sequence; see A297330. - _Clark Kimberling_
%H A037835 Clark Kimberling, <a href="/A037835/b037835.txt">Table of n, a(n) for n = 1..10000</a>
%p A037835 A037835 := proc(n)
%p A037835     local dgs ;
%p A037835     dgs := convert(n,base,3);
%p A037835     add( abs(op(i,dgs)-op(i-1,dgs)),i=2..nops(dgs)) ;
%p A037835 end proc: # _R. J. Mathar_, Oct 16 2015
%t A037835 b = 3; z = 120; t = Table[Total@Flatten@Map[Abs@Differences@# &,      Partition[IntegerDigits[n, b], 2, 1]], {n, z}] (* cf. Michael De Vlieger, A037834 *)
%Y A037835 Cf. A297330.
%K A037835 nonn,base
%O A037835 1,6
%A A037835 _Clark Kimberling_
%E A037835 Updated by _Clark Kimberling_, Jan 19 2018