A037844 Sum{d(i-1)-d(i): d(i)

0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base

Comments

This is the base-3 up-variation sequence; see A297330.

Links

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

Crossrefs

Cf. A037853, A297330.

Programs

Maple

A037844 := proc(n)
    a := 0 ;
    dgs := convert(n,base,3);
    for i from 2 to nops(dgs) do
        if op(i,dgs)R. J. Mathar, Oct 16 2015

Mathematica

g[n_, b_] := Differences[IntegerDigits[n, b]]; b = 3; z = 120;
Table[-Total[Select[g[n, b], # < 0 &]], {n, 1, z}];  (*A037853*)
Table[Total[Select[g[n, b], # > 0 &]], {n, 1, z}];   (*A037844*)

Extensions

Definition corrected by R. J. Mathar, Oct 16 2015

Updated by Clark Kimberling, Jan 18 2018