A258718 -id:A258718 - cp's OEIS frontend

A259838 Decimal expansion of Sum_{n>=0} 2^n/100^A055642(2^n).

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

Offset: 0

R. J. Mathar, Jul 06 2015

			0.16226215644820295983086680761089...

Cf. A258718, A259837.

suminf(n=0, 2^n/100^#Str(2^n)) \\ Charles R Greathouse IV, Jul 06 2015

Equals Sum_{n>=0} p/100^A055642(p) where p = A000079(n).

A259837 Value of DIS (Decimal Integer Series) constant based on the sequence of factorials.

Original entry on oeis.org

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

Offset: 0

R. J. Mathar, Jul 06 2015

			Equals 0.0932948357096852260049316156010177480...

Cf. A258718, A259838.

Equals sum_{n>=1} f/100^A055642(f) where f=A000142(n).

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

Original entry on oeis.org

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

R. J. Mathar, Jul 09 2015

			Equals 0.10167977382768881770446374731...

Cf. A258718, A259838.

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:

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

A259930 Value of DIS (Decimal Integer Series) constant based on the sequence of powers of 3.

Original entry on oeis.org

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

Offset: 0

R. J. Mathar, Jul 09 2015

			Equals 0.1418681318783738183569757397727153333597854856723780...

Cf. A258718, A259837, A259838 (powers of 2).

shftdgs := proc(n)
    n/100^A055642(n) ;
end proc:
Digits := 120 :
x := 0.0 ;
for n from 0 to 200 do
    x := x+evalf(shftdgs(A000244(n))) ;
    if n mod 10 = 0 then
        print(x) ;
    end if;
end do:

Equals sum_{n>=0} p/100^A055642(p) where p = A000244(n).

cp's OEIS Frontend

A259838 Decimal expansion of Sum_{n>=0} 2^n/100^A055642(2^n).

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PARI

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A259837 Value of DIS (Decimal Integer Series) constant based on the sequence of factorials.

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

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Maple

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A259930 Value of DIS (Decimal Integer Series) constant based on the sequence of powers of 3.

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Maple

Formula