A064845 Let r_1 = 1; r_{n+1} = [r_1; r_2, r_3,..., r_n]; n-th term is numerator of r_n.

1, 1, 2, 5, 31, 1231, 1917121, 4667676800641, 27640053867460068128570881, 969475805641849161579046591814284573846079748476161

Offset

1,3

Comments

[r_1; r_2, r_3,..., r_n] is a continued fraction, where the r's are rationals. limit{n -> infinity} r_n = 1.7118691868...

Links

Table of n, a(n) for n=1..10.

Crossrefs

Cf. A053978, A064846.

Sequence in context: A163852 A051399 A080582 * A295391 A259644 A132527

Adjacent sequences: A064842 A064843 A064844 * A064846 A064847 A064848

Keyword

easy,frac,nonn

Author

Leroy Quet, Oct 31 2001

Status

approved