A037848 a(n)=Sum{d(i-1)-d(i): d(i)

0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 0, 0, 0, 1, 2, 3, 4, 0, 0, 0, 0, 1, 2, 3, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 0, 0, 1, 2, 3, 4, 5, 1, 1, 1, 2, 3, 4, 5, 2, 2, 2, 2, 3, 4, 5, 3, 3, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 4, 5

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base

Comments

This is the base-7 up-variation sequence; see A297330. - Clark Kimberling, Jan 18 2017

Links

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

Crossrefs

Cf. A297330

Programs

Maple

A037848 := proc(n)
    a := 0 ;
    dgs := convert(n,base,7);
    for i from 2 to nops(dgs) do
        if op(i,dgs)R. J. Mathar, Oct 19 2015

Mathematica

g[n_, b_] := Differences[IntegerDigits[n, b]]; b = 7; z = 120;
Table[-Total[Select[g[n, b], # < 0 &]], {n, 1, z}];  (*A037857*)
Table[Total[Select[g[n, b], # > 0 &]], {n, 1, z}];   (*A037848*)

Extensions

Definition swapped with A037857. - R. J. Mathar, Oct 19 2015

Updated by Clark Kimberling, Jan 19 2018