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 A037854 Sum_{i=1..m, d(i)>d(i-1)} d(i)-d(i-1), where Sum_{i=0..m} d(i)*4^i is the base 4 representation of n. 3
 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 3, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 3, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 3, 2, 1, 0, 3, 3, 3, 3, 3, 2, 2, 2, 3, 2, 1, 1, 3, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 4, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 COMMENTS This is the base-4 down-variation sequence; see A297330. - Clark Kimberling, Jan 18 2018 LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 MAPLE A037854 := proc(n)     a := 0 ;     dgs := convert(n, base, 4);     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 19 2015 MATHEMATICA d[n_] := d[n] = Differences[RealDigits[n, 4][[1]]] Table[Total[Select[d[n], # > 0 &]], {n, 1, z}];  (* A037845 *) -Table[Total[Select[d[n], # < 0 &]], {n, 1, z}]; (* A037854 *) (* Clark Kimberling, Oct 20 2015 *) CROSSREFS Cf. A297330. Sequence in context: A280605 A218253 A037872 * A091229 A290255 A283982 Adjacent sequences:  A037851 A037852 A037853 * A037855 A037856 A037857 KEYWORD nonn,base AUTHOR EXTENSIONS Definition swapped with A037845 by R. J. Mathar, Oct 19 2015 STATUS approved

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Last modified October 19 01:20 EDT 2019. Contains 328211 sequences. (Running on oeis4.)