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A304656 Decimal expansion of Pi*sqrt(3). 3
5, 4, 4, 1, 3, 9, 8, 0, 9, 2, 7, 0, 2, 6, 5, 3, 5, 5, 1, 7, 8, 2, 2, 3, 4, 7, 7, 2, 9, 2, 6, 4, 6, 7, 1, 9, 6, 8, 5, 2, 1, 9, 8, 7, 4, 4, 2, 7, 8, 2, 2, 1, 7, 2, 6, 7, 0, 9, 6, 5, 4, 8, 0, 6, 1, 6, 4, 3, 6, 9, 5, 4, 3, 3, 7, 9, 0, 6, 1, 6, 5, 1, 0, 5, 2, 3, 7, 4, 9, 6, 4, 6, 3, 6, 1, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..96.

Index entries for transcendental numbers

FORMULA

Equals gamma(0, 1/6) - gamma(0, 5/6) where gamma(n,x) denotes the generalized Stieltjes constants.

Equals PolyGamma[0, 5/6] - PolyGamma[0, 1/6].

Equals 3*sqrt(2*zeta(2)).

Pi^2 = A304656 * A093602.

From Amiram Eldar, Aug 06 2020: (Start)

Equals Sum_{k>=0} 1/((k + 1/3)*(k + 2/3)).

Equals Integral_{x=0..oo} log(1 + 3/x^2) dx. (End)

Equals (27*S - 36)/8, where S = A248682. - Peter Luschny, Jul 22 2022

EXAMPLE

5.4413980927026535517822347729264671968521987442782217267096548061643695433790...

MAPLE

Pi*sqrt(3): evalf(%, 100);

MATHEMATICA

RealDigits[N[StieltjesGamma[0, 1/6]-StieltjesGamma[0, 5/6], 99]][[1]] (* corrected by Harvey P. Dale, Oct 13 2020 *)

RealDigits[Pi Sqrt[3], 10, 120][[1]] (* Harvey P. Dale, Oct 13 2020 *)

CROSSREFS

Cf. A002388, A093602, A248682.

Sequence in context: A019102 A019179 A206568 * A354209 A220248 A147533

Adjacent sequences:  A304653 A304654 A304655 * A304657 A304658 A304659

KEYWORD

nonn,cons,changed

AUTHOR

Peter Luschny, May 16 2018

STATUS

approved

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Last modified October 6 12:35 EDT 2022. Contains 357264 sequences. (Running on oeis4.)