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A037850 a(n)=Sum{d(i-1)-d(i): d(i)<d(i-1), i=1,...,m}, where Sum{d(i)*9^i: i=0,1,...,m} is the base 9 representation of n. 3
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 0, 0, 0, 1, 2, 3, 4, 5, 6, 0, 0, 0, 0, 1, 2, 3, 4, 5, 0, 0, 0, 0, 0, 1, 2, 3, 4, 0, 0, 0, 0, 0, 0, 1, 2, 3, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,12

COMMENTS

This is the base-9 up-variation sequence; see A297330. - Clark Kimberling, Jan 18 2017

LINKS

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

MAPLE

A037850 := proc(n)

    a := 0 ;

    dgs := convert(n, base, 9);

    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 = 9; z = 120;

Table[-Total[Select[g[n, b], # < 0 &]], {n, 1, z}];  (*A037859*)

Table[Total[Select[g[n, b], # > 0 &]], {n, 1, z}];   (*A037850*)

CROSSREFS

Cf. A297330, A037859.

Sequence in context: A087412 A024684 A265538 * A037886 A031045 A010877

Adjacent sequences:  A037847 A037848 A037849 * A037851 A037852 A037853

KEYWORD

nonn,base

AUTHOR

Clark Kimberling

EXTENSIONS

Definition swapped with A037859. - R. J. Mathar, Oct 19 2015

Updated by Clark Kimberling, Jan 19 2018

STATUS

approved

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Last modified November 17 03:06 EST 2019. Contains 329216 sequences. (Running on oeis4.)