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A037849 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. 3
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, 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, 5, 6, 7, 0, 0, 1, 2, 3, 4, 5, 6, 1, 1, 1, 2, 3, 4, 5, 6, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,11

COMMENTS

This is the base-8 up-variation sequence; see A297330. - Clark Kimberling, Jan 18 2017

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

MAPLE

A037849 := proc(n)

    a := 0 ;

    dgs := convert(n, base, 8);

    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

g[n_, b_] := Differences[IntegerDigits[n, b]]; b = 8; z = 120;

Table[-Total[Select[g[n, b], # < 0 &]], {n, 1, z}];  (* A037858 *)

Table[Total[Select[g[n, b], # > 0 &]], {n, 1, z}];   (* A037849 *)

CROSSREFS

Cf. A007094, A037858, A297330.

Sequence in context: A213478 A266449 A265536 * A037885 A031007 A010876

Adjacent sequences:  A037846 A037847 A037848 * A037850 A037851 A037852

KEYWORD

nonn,base

AUTHOR

Clark Kimberling

EXTENSIONS

Definition swapped with A037858 by R. J. Mathar, Oct 19 2015

Updated by Clark Kimberling, Jan 19 2018

STATUS

approved

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Last modified December 8 04:46 EST 2019. Contains 329853 sequences. (Running on oeis4.)