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%I #19 Jan 28 2019 02:09:08
%S 0,0,0,0,0,0,0,0,0,1,2,3,4,5,6,0,0,0,1,2,3,4,5,0,0,0,0,1,2,3,4,0,0,0,
%T 0,0,1,2,3,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,3,4,
%U 5,6,7,0,0,1,2,3,4,5,6,1,1,1,2,3,4,5,6,2,2,2
%N a(n) = Sum_{d(i) < d(i-1), i=1..m} (d(i-1) - d(i)), where Sum{d(i)*8^i: i=0,1,...,m} is the base-8 representation of n.
%C This is the base-8 up-variation sequence; see A297330. - _Clark Kimberling_, Jan 18 2017
%H Clark Kimberling, <a href="/A037849/b037849.txt">Table of n, a(n) for n = 1..10000</a>
%p A037849 := proc(n)
%p a := 0 ;
%p dgs := convert(n,base,8);
%p for i from 2 to nops(dgs) do
%p if op(i,dgs)<op(i-1,dgs) then
%p a := a-op(i,dgs)+op(i-1,dgs) ;
%p end if;
%p end do:
%p a ;
%p end proc: # _R. J. Mathar_, Oct 19 2015
%t g[n_, b_] := Differences[IntegerDigits[n, b]]; b = 8; z = 120;
%t Table[-Total[Select[g[n, b], # < 0 &]], {n, 1, z}]; (* A037858 *)
%t Table[Total[Select[g[n, b], # > 0 &]], {n, 1, z}]; (* A037849 *)
%Y Cf. A007094, A037858, A297330.
%K nonn,base
%O 1,11
%A _Clark Kimberling_
%E Definition swapped with A037858 by _R. J. Mathar_, Oct 19 2015
%E Updated by _Clark Kimberling_, Jan 19 2018
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