A378128 Decimal expansion of 2/L, where L is the lemniscate constant (A062539).

7, 6, 2, 7, 5, 9, 7, 6, 3, 5, 0, 1, 8, 1, 3, 1, 8, 8, 0, 6, 2, 3, 2, 5, 9, 8, 0, 9, 6, 3, 6, 1, 5, 7, 9, 3, 2, 9, 2, 6, 2, 9, 2, 3, 7, 3, 4, 8, 0, 7, 2, 9, 1, 5, 2, 1, 7, 0, 7, 1, 5, 9, 8, 2, 6, 4, 4, 2, 2, 6, 9, 2, 9, 5, 6, 2, 5, 6, 1, 9, 2, 1, 9, 5, 4, 6, 6, 1, 4, 6

Offset

0,1

Links

Table of n, a(n) for n=0..89.

Wikipedia, Lemniscate constant (includes this constant).

Index to sequences related to the Gamma function.

Formula

Equals 1/A085565.

Equals 2*sqrt(2)*Gamma(3/4)^2/Pi^(3/2) = A010466*A175575.

Equals Product_{k >= 1} b(k), where b(1) = sqrt(1/2) and, for k >= 2, b(k) = sqrt(1/2 + (1/2)/b(k-1)).

Example

0.76275976350181318806232598096361579329262923734807...

Mathematica

First[RealDigits[Sqrt[8]*Gamma[3/4]^2/Pi^(3/2), 10, 100]]

Crossrefs

Cf. A010466, A062539, A085565, A175575.

Cf. A377999, A378129, A378130, A378131, A378132.

Sequence in context: A276459 A181152 A244920 * A073011 A396372 A086312

Adjacent sequences: A378125 A378126 A378127 * A378129 A378130 A378131

Keyword

nonn,cons,easy

Author

Paolo Xausa, Nov 17 2024

Status

approved