A037847 a(n)=Sum{d(i-1)-d(i): d(i)<d(i-1), i=0,1,...,m}, where Sum{d(i)*6^i: i=0,1,...,m} is the base 6 representation of n.

0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 0, 0, 0, 1, 2, 3, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 0, 0, 1, 2, 3, 4, 1, 1, 1, 2, 3, 4, 2, 2, 2, 2, 3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 0, 1, 2, 3, 4, 5, 0, 0, 1, 2, 3, 4, 0, 0, 0, 1, 2, 3, 1

Offset

1,9

Comments

This is the base-6 up-variation sequence; see A297330. - Clark Kimberling, Jan 18 2017

Links

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

Maple

A037847 := proc(n)
    a := 0 ;
    dgs := convert(n, base, 6);
    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 = 6; z = 120;
Table[-Total[Select[g[n, b], # < 0 &]], {n, 1, z}];  (*A037856*)
Table[Total[Select[g[n, b], # > 0 &]], {n, 1, z}];   (*A037847*)

Crossrefs

Cf. A297330.

Sequence in context: A088266 A116889 A347716 * A037883 A350775 A330267

Adjacent sequences: A037844 A037845 A037846 * A037848 A037849 A037850

Keyword

nonn,base

Author

Clark Kimberling

Extensions

Definition swapped with A037856. - R. J. Mathar, Oct 19 2015

Updated by Clark Kimberling, Jan 19 2018

Status

approved