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

Author

Paolo Xausa, Nov 18 2024

Keywords

• nonn
• cons
• easy

Examples

			3.15121200215389753821768994224868855664551935451...
		

Links

• Wikipedia, Lemniscate constant (includes this constant).
• Index to sequences related to the Gamma function.

Crossrefs

Cf. A062539, A068465, A092732.

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

Programs

Mathematica

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

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.