login
A119822
Decimal representation of continued fraction 1, 2, 5, 14, 42, ... (Catalan numbers).
1
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
EXAMPLE
C = 1.4551272285774927635625191234406153249189871268608242622277147684420899838823\
73924521114697520004056194525621494510648677450892641...
C is a 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 + ...
MATHEMATICA
RealDigits[ Normal[ ContinuedFractionForm[ Table[(2k)!/k!/(k+1)!, {k, 1, 30} ]]], 10, 130] [[1]]
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Alexander Adamchuk, Jul 30 2006
STATUS
approved