A119822 Decimal representation of continued fraction 1, 2, 5, 14, 42, ... (Catalan numbers).

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

Offset

1,2

Comments

It is the limit of continued fraction of Catalan numbers (1 + 1/(2 + 1/(5 + 1/(14 + 1/(42 + 1/(132 + 1/(429 + 1/(1430 + 1/(4862 + 1/(16796 + ...)))))))))).

Links

Table of n, a(n) for n=1..105.

Example

1.45512722857749276356251912344061532491898712686082426222771476844208998388...

Mathematica

RealDigits[ Normal[ ContinuedFractionForm[ Table[(2k)!/k!/(k+1)!, {k, 1, 30} ]]], 10, 130] [[1]]

Crossrefs

Cf. A071897, A060997, A000108.

Sequence in context: A103561 A309949 A198571 * A120651 A093054 A029685

Adjacent sequences: A119819 A119820 A119821 * A119823 A119824 A119825

Keyword

cons,nonn,changed

Author

Alexander Adamchuk, Jul 30 2006

Status

approved