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

Author

Alexander Adamchuk, Jul 30 2006

Keywords

• cons
• nonn

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 + ...)))))))))).

Examples

			1.45512722857749276356251912344061532491898712686082426222771476844208998388...
		

Crossrefs

Cf. A071897, A060997, A000108.

Programs

Mathematica

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