A128297 a(n) = numerator of b(n): b(1)=1; b(n+1) = [b(1);b(2),...,b(n)]/b(n), where [...] is a continued fraction of rational terms.

1, 1, 2, 5, 74, 4735, 188040808, 10740045446796805, 1363118590418849109388908467099944, 31779046363111610229758725291999838369088276597741410196574625989

Offset

1,3

Links

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

Example

a(6) = the numerator of b(6). b(6) = (1 +1/(1 +1/(2 +1/(5/6 +35/74))))*35/74 = 4735/5772.

Mathematica

a = {1}; Do[AppendTo[a, FromContinuedFraction[a]/a[[ -1]]], {10}]; Numerator[a] (* Stefan Steinerberger, Oct 24 2007 *)

Crossrefs

Cf. A128298.

Sequence in context: A328746 A172037 A301993 * A183291 A254405 A216847

Adjacent sequences: A128294 A128295 A128296 * A128298 A128299 A128300

Keyword

frac,nonn

Author

Leroy Quet, Feb 25 2007

Extensions

More terms from Stefan Steinerberger, Oct 24 2007

Status

approved