A138373 Count of post-period decimal digits up to which the rounded n-th convergent to sqrt(5)/2 agrees with the exact value.

1, 3, 3, 5, 6, 8, 9, 10, 9, 13, 13, 15, 15, 18, 19, 20, 22, 22, 24, 25, 26, 27, 29, 30, 32, 33, 34, 35, 36, 38, 39, 40, 41, 43, 44, 45, 47, 47, 49, 50, 52, 53, 54, 55, 56, 58, 57, 60, 61, 62, 64, 64, 67, 68, 68, 71, 72, 73, 74, 75, 76, 78, 78, 80, 82, 83, 84, 85, 86, 88, 88, 90

Offset

1,2

Comments

Defined equivalent to A138367 considering the constant 1.1188.. = 10*A020837 and its convergents 9/8 (n=1), 19/17 (n=2), 161/144 (n=3), 341/305 (n=4), 2889/2584 (n=5).

Links

Table of n, a(n) for n=1..72.

Crossrefs

Cf. A138335 - A138339, A138343, A138366, A138367, A138369, A138370 - A138374.

Sequence in context: A262355 A325459 A309947 * A011976 A060022 A187679

Adjacent sequences: A138370 A138371 A138372 * A138374 A138375 A138376

Keyword

base,nonn

Author

Artur Jasinski, Mar 17 2008

Extensions

Definition and values replaced as defined via continued fractions - R. J. Mathar, Oct 01 2009

Status

approved