login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A251809 Decimal expansion of 3*sqrt(2)*Pi^3/128. 4
1, 0, 2, 7, 7, 2, 2, 5, 8, 5, 9, 3, 6, 8, 5, 8, 5, 6, 7, 8, 7, 9, 2, 5, 6, 6, 1, 8, 0, 0, 2, 2, 5, 5, 7, 6, 7, 2, 1, 0, 1, 0, 0, 3, 1, 8, 5, 3, 6, 9, 9, 7, 4, 6, 5, 3, 3, 1, 0, 8, 4, 7, 5, 5, 1, 8, 5, 2, 5, 7, 7, 7, 2, 4, 6, 8, 5, 8, 4, 9, 6, 8, 0, 3, 5, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

REFERENCES

L. B. W. Jolley, Summation of series, Dover Publications Inc. (New York), 1961, p. 64 (formula 340).

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

FORMULA

Equals Sum_{i >= 0} (-1)^floor(i/2)/(2i+1)^3 = +1 +1/3^3 -1/5^3 -1/7^3 +1/9^3 +1/11^3 - ...

EXAMPLE

1.027722585936858567879256618002255767210100318536997465331084755185...

MATHEMATICA

RealDigits[3 Sqrt[2] Pi^3/128, 10, 90][[1]]

PROG

(PARI) 3*sqrt(2)*Pi^3/128 \\ G. C. Greubel, Jul 27 2018

(MAGMA) R:= RealField(); 3*Sqrt(2)*Pi(R)^3/128; // G. C. Greubel, Jul 27 2018

CROSSREFS

Cf. A153071: Sum_{i >= 0} (-1)^i/(2i+1)^3.

Cf. A233091: Sum_{i >= 0} 1/(2i+1)^3.

Sequence in context: A011052 A153738 A159790 * A016639 A138341 A153520

Adjacent sequences:  A251806 A251807 A251808 * A251810 A251811 A251812

KEYWORD

nonn,cons

AUTHOR

Bruno Berselli, Dec 10 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 21 22:19 EDT 2019. Contains 321382 sequences. (Running on oeis4.)