A362150 Decimal expansion of lambda, a constant arising in the analysis of the binary Euclidean algorithm.

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

Offset

0,1

Comments

See Brent (1999), p. 12, and Morris (2016), p. 79, where this constant is called zeta(1).

See A362149 for additional comments, references and links.

Links

Table of n, a(n) for n=0..39.

Richard P. Brent, Further analysis of the binary Euclidean algorithm, arXiv:1303.2772 [cs.DS], 1999, p. 12.

Ian D. Morris, A rigorous version of R. P. Brent's model for the binary Euclidean algorithm, Advances in Mathematics, Vol. 290, 26 Feb. 2016, p. 79.

Formula

Equals (4*log(2)/Pi^2)/A362149 = 4*A118858/A362149.

Example

0.3979226811883166440767071611426549823098...

Crossrefs

Cf. A118858, A345987, A362149.

Sequence in context: A046261 A074806 A010634 * A267363 A146179 A294734

Adjacent sequences: A362147 A362148 A362149 * A362151 A362152 A362153

Keyword

nonn,cons,hard,more

Author

Paolo Xausa, Apr 09 2023

Status

approved