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A276712 Decimal expansion of zeta(3)/8. 1
1, 5, 0, 2, 5, 7, 1, 1, 2, 8, 9, 4, 9, 4, 9, 2, 8, 5, 6, 7, 4, 9, 6, 7, 2, 7, 0, 1, 8, 8, 9, 3, 1, 2, 4, 8, 8, 4, 5, 6, 2, 3, 2, 8, 6, 5, 4, 2, 5, 6, 2, 3, 6, 0, 2, 2, 4, 0, 3, 3, 9, 4, 4, 4, 1, 7, 7, 2, 9, 7, 7, 5, 7, 2, 3, 2, 8, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

James Dodson, The Mathematical Repository Containing Analytical Solutions of Five Hundred Questions: Mostly Selected from Scarce and Valuable Authors, (1748), page 375.

LINKS

Table of n, a(n) for n=0..77.

FORMULA

Equals Sum_{n>=1} 1/(2n)^3 = 1/8 + 1/64 + 1/216 + 1/512 + ...

Zeta(3)/8 = A002117/8.

Zeta(3)/8 + A233091 =  Sum_{n>=1} 1/(2n+1)^3 + Sum_{n>=1} 1/(2n)^3 = zeta(3).

Equals Sum_{k>=1} (-1)^(k+1) * H(k)/(k+1)^2, where H(k) = A001008(k)/A002805(k) is the k-th harmonic number. - Amiram Eldar, Jul 22 2020

EXAMPLE

0.150257112894949285674967270188...

MATHEMATICA

RealDigits[(Zeta[3])/8, 10, 100][[1]]

PROG

(Sage)

(zeta(3)/8).n(100)

(PARI) zeta(3)/8 \\ Michel Marcus, Sep 16 2016

CROSSREFS

Cf. A001008, A002117, A002805, A233091, A111003, A222171, A013661.

Sequence in context: A222597 A021999 A021203 * A199387 A195720 A198883

Adjacent sequences:  A276709 A276710 A276711 * A276713 A276714 A276715

KEYWORD

nonn,cons

AUTHOR

Terry D. Grant, Sep 15 2016

STATUS

approved

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Last modified April 17 02:26 EDT 2021. Contains 343059 sequences. (Running on oeis4.)