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 A037853 Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*3^i: i=0,1,...,m} is base 3 representation of n. 3
 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 3, 2, 2, 4, 3, 2, 2, 2, 2, 2, 1, 1, 3, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 3, 2, 1, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 COMMENTS This is the base-3 down-variation sequence; see A297330. - Clark Kimberling, Jan 18 2018 LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 MAPLE A037853 := proc(n)     a := 0 ;     dgs := convert(n, base, 3);     for i from 2 to nops(dgs) do         if op(i, dgs)>op(i-1, dgs) then             a := a+op(i, dgs)-op(i-1, dgs) ;         end if;     end do:     a ; end proc: # R. J. Mathar, Oct 16 2015 MATHEMATICA g[n_, b_] := Differences[IntegerDigits[n, b]]; b = 3; z = 120; Table[-Total[Select[g[n, b], # < 0 &]], {n, 1, z}];  (*A037853*) Table[Total[Select[g[n, b], # > 0 &]], {n, 1, z}];   (*A037844*) (* Clark Kimberling, Jan 18 2018 *) CROSSREFS Cf. A037844, A297330. Sequence in context: A258139 A261887 A037871 * A255237 A291954 A106799 Adjacent sequences:  A037850 A037851 A037852 * A037854 A037855 A037856 KEYWORD nonn,base AUTHOR EXTENSIONS Definition corrected by R. J. Mathar, Oct 16 2015 STATUS approved

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Last modified October 14 08:54 EDT 2019. Contains 327995 sequences. (Running on oeis4.)