A037846 a(n)=Sum{d(i-1)-d(i): d(i)<d(i-1), i=1,...,m}, where Sum{d(i)*5^i: i=0,1,...,m} is the base 5 representation of n.

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

Offset

1,8

Comments

This is the base-5 up-variation sequence; see A297330. - Clark Kimberling, Jan 19 2017

Links

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

Maple

A037846 := proc(n)
    a := 0 ;
    dgs := convert(n, base, 5);
    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 = 5; z = 120;
Table[-Total[Select[g[n, b], # < 0 &]], {n, 1, z}];  (*A037855*)
Table[Total[Select[g[n, b], # > 0 &]], {n, 1, z}];   (*A037846*)

Crossrefs

Cf. A297330.

Sequence in context: A095750 A056966 A362363 * A037882 A024865 A025109

Adjacent sequences: A037843 A037844 A037845 * A037847 A037848 A037849

Keyword

nonn,base

Author

Clark Kimberling

Extensions

Definition swapped with A037855. - R. J. Mathar, Oct 19 2015

Updated by Clark Kimberling, Jan 19 2018

Status

approved