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.

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

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: A332782 A266449 A265536 * A037885 A347729 A031007

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