A259929 Value of DIS (Decimal Integer Series) constant based on the sequence of cubes.

1, 0, 1, 6, 7, 9, 7, 7, 3, 8, 2, 7, 6, 8, 8, 8, 1, 7, 7, 0, 4, 4, 6, 3, 7, 4, 7, 3, 1, 6, 2, 4, 5, 5, 4, 3, 5, 5, 6, 6, 8, 8, 2, 7, 7, 5, 1, 2, 3, 4, 7, 3, 8, 7, 2, 6, 3, 1, 9, 3, 0, 6, 2, 0, 8, 3, 1, 7, 5, 5, 0, 9, 8, 4, 4, 0, 6, 3, 9, 0, 4, 0, 9, 9, 8, 6, 0, 8, 0, 6, 8, 8, 3, 3, 9, 9, 8, 2, 4, 7

Offset

0,4

Links

Table of n, a(n) for n=0..99.

Formula

Equals sum_{n>=1} c/100^A055642(c) where c=A000578(n).

Example

Equals 0.10167977382768881770446374731...

Maple

Digits := 220 ;
x := 0.0 ;
for ndigs from 1 to 200 do
    # 10^(ndigs-1)<= n^3  < 10^ndigs
    nmin := ceil(10^((ndigs-1)/3)) ;
    nmax := floor( root[3](10^(ndigs)-1) ) ;
    if nmax >= nmin then
        # sum nmin^3.. nmax^3
        csu := A000537(nmax)-A000537(nmin-1) ;
        x := x+evalf(csu/100^ndigs) ;
        printf("%.120f\n", x) ;
    end if;
end do:

Crossrefs

Cf. A258718, A259838.

Sequence in context: A019741 A197634 A011482 * A053007 A094868 A131956

Adjacent sequences: A259926 A259927 A259928 * A259930 A259931 A259932

Keyword

nonn,cons,base

Author

R. J. Mathar, Jul 09 2015

Status

approved