A037845 a(n) = Sum_{i=1..m, d(i)

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

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base

Links

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

Programs

Maple

A037845 := proc(n)
    a := 0 ;
    dgs := convert(n,base,4);
    for i from 2 to nops(dgs) do
        if op(i,dgs)R. J. Mathar, Oct 19 2015

Mathematica

d[n_] := d[n] = Differences[RealDigits[n, 4][[1]]]
Table[Total[Select[d[n], # > 0 &]], {n, 1, z}];  (* A037845 *)
-Table[Total[Select[d[n], # < 0 &]], {n, 1, z}]; (* A037854 *)
(* Clark Kimberling, Oct 20 2015 *)

Extensions

Definition swapped with A037854. - R. J. Mathar, Oct 19 2015