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A327995 Decimal expansion of Gamma(3/4)/Pi^(1/4). 1
9, 2, 0, 4, 4, 1, 7, 8, 7, 8, 3, 5, 5, 9, 0, 9, 8, 3, 9, 3, 4, 9, 1, 7, 1, 3, 0, 7, 4, 9, 9, 9, 0, 9, 8, 1, 2, 2, 9, 4, 9, 8, 9, 2, 0, 2, 0, 9, 1, 5, 1, 3, 4, 2, 2, 5, 3, 3, 0, 0, 0, 5, 8, 9, 1, 8, 1, 5, 3, 5, 0, 3, 7, 4, 1, 5, 1, 3, 1, 3, 4, 3, 5, 5, 4, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The function df(x) = 2^(x/2)*(2/Pi)^(sin(Pi*x/2)^2/2)*Gamma(x/2+1) interpolates the double factorials A006882 and extends them analytically. df(-1/2) is the given constant. Extending also the notation this can be written as (-1/2)!! = (-1/4)!/Pi^(1/4).

LINKS

Table of n, a(n) for n=0..85.

FORMULA

Equals (-1/4)!/Pi^(1/4).

EXAMPLE

Equals 0.92044178783559098393491713074999098122949892...

MAPLE

Digits := 100: GAMMA(3/4)/Pi^(1/4)*10^86:

ListTools:-Reverse(convert(floor(%), base, 10));

PROG

(PARI) gamma(3/4)/Pi^(1/4) \\ Michel Marcus, Oct 24 2019

CROSSREFS

Cf. A327996, A006882.

Sequence in context: A046761 A193373 A246564 * A019876 A155696 A098875

Adjacent sequences:  A327992 A327993 A327994 * A327996 A327997 A327998

KEYWORD

nonn,cons

AUTHOR

Peter Luschny, Oct 24 2019

STATUS

approved

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Last modified March 29 02:19 EDT 2020. Contains 333104 sequences. (Running on oeis4.)