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A362150
Decimal expansion of lambda, a constant arising in the analysis of the binary Euclidean algorithm.
2
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
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
KEYWORD
nonn,cons,hard,more
AUTHOR
Paolo Xausa, Apr 09 2023
STATUS
approved