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A037844 Sum{d(i-1)-d(i): d(i) where Sum{d(i)*3^i: i=0,1,...,m} is base 3 representation of n.

%I A037844 #13 Jan 19 2018 15:21:20
%S A037844 0,0,0,0,1,0,0,0,0,1,2,0,0,1,1,1,1,0,1,2,0,0,1,0,0,0,0,1,2,1,1,2,2,2,
%T A037844 2,0,1,2,0,0,1,1,1,1,1,2,3,1,1,2,1,1,1,0,1,2,1,1,2,2,2,2,0,1,2,0,0,1,
%U A037844 1,1,1,0,1,2,0,0,1,0,0,0,0,1,2,1,1,2,2,2,2,1
%N A037844 Sum{d(i-1)-d(i): d(i)<d(i-1), i=1,...,m}, where Sum{d(i)*3^i: i=0,1,...,m} is base 3 representation of n.
%C A037844 This is the base-3 up-variation sequence; see A297330.
%H A037844 Clark Kimberling, <a href="/A037844/b037844.txt">Table of n, a(n) for n = 1..10000</a>
%p A037844 A037844 := proc(n)
%p A037844     a := 0 ;
%p A037844     dgs := convert(n,base,3);
%p A037844     for i from 2 to nops(dgs) do
%p A037844         if op(i,dgs)<op(i-1,dgs) then
%p A037844             a := a-op(i,dgs)+op(i-1,dgs) ;
%p A037844         end if;
%p A037844     end do:
%p A037844     a ;
%p A037844 end proc: # _R. J. Mathar_, Oct 16 2015
%t A037844 g[n_, b_] := Differences[IntegerDigits[n, b]]; b = 3; z = 120;
%t A037844 Table[-Total[Select[g[n, b], # < 0 &]], {n, 1, z}];  (*A037853*)
%t A037844 Table[Total[Select[g[n, b], # > 0 &]], {n, 1, z}];   (*A037844*)
%Y A037844 Cf. A037853, A297330.
%K A037844 nonn,base
%O A037844 1,11
%A A037844 _Clark Kimberling_
%E A037844 Definition corrected by _R. J. Mathar_, Oct 16 2015
%E A037844 Updated by _Clark Kimberling_, Jan 18 2018