A378132 Decimal expansion of L^4/15, where L is the lemniscate constant (A062539).

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

Offset

1,1

Links

Table of n, a(n) for n=1..90.

Wikipedia, Lemniscate constant (includes this constant).

Index to sequences related to the Gamma function.

Formula

Equals Pi^6/(60*Gamma(3/4)^8) = A092732/(60*A068465^8).

Equals Sum_{z is a Gaussian integer != 0} 1/z^4.

Equals G_4(i), where G_4 is the Eisenstein series of weight ⁠4.

Example

3.15121200215389753821768994224868855664551935451...

Mathematica

First[RealDigits[Pi^6/(60*Gamma[3/4]^8), 10, 100]]

Crossrefs

Cf. A062539, A068465, A092732.

Cf. A377999, A378128, A378129, A378130, A378131.

Sequence in context: A227507 A134700 A085407 * A325523 A352483 A016475

Adjacent sequences: A378129 A378130 A378131 * A378133 A378134 A378135

Keyword

nonn,cons,easy

Author

Paolo Xausa, Nov 18 2024

Status

approved