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A240984 Decimal expansion of the infinite product of e*(1-1/n^2)^(n^2) for n >= 2, which evaluates as Pi/e^(3/2). 4
7, 0, 0, 9, 8, 4, 0, 7, 1, 9, 1, 6, 6, 2, 1, 1, 9, 9, 8, 1, 5, 4, 7, 1, 4, 3, 5, 7, 6, 5, 7, 1, 5, 4, 9, 0, 1, 7, 1, 3, 0, 9, 9, 7, 1, 9, 0, 0, 2, 6, 0, 3, 7, 9, 3, 2, 3, 1, 2, 8, 1, 2, 8, 4, 6, 6, 4, 6, 8, 1, 2, 5, 9, 5, 9, 5, 4, 4, 8, 7, 2, 8, 9, 9, 5, 7, 1, 6, 7, 3, 0, 2, 0, 3, 4, 8, 8, 0, 9, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..99.

Steven R. Finch, Errata and Addenda to Mathematical Constants. p. 2.

Steven R. Finch, Errata and Addenda to Mathematical Constants, January 22, 2016. [Cached copy, with permission of the author]

S. R. Holcombe, A product representation for Pi, arXiv:1204.2451 [math.NT], 2012.

FORMULA

prod_{n>=2} e*(1-1/n^2)^(n^2) = Pi/e^(3/2).

EXAMPLE

0.700984071916621199815471435765715490171309971900260379323128...

MATHEMATICA

RealDigits[Pi/E^(3/2), 10, 100] // First

CROSSREFS

Sequence in context: A235140 A249119 A154102 * A235363 A211904 A094898

Adjacent sequences:  A240981 A240982 A240983 * A240985 A240986 A240987

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Aug 06 2014

STATUS

approved

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Last modified July 15 16:29 EDT 2019. Contains 325049 sequences. (Running on oeis4.)