A113065 a(n) = denominator of r(n), where r(n) = the continued fraction of rational terms [1,3/2,11/6,...,H(n)], where H(n) = sum{j=1..n} 1/j, the n-th harmonic number.

1, 3, 45, 1341, 216117, 12198933, 5033340279, 4308570125919, 34267321328538951, 280288242453582014931, 25856932235044095350623341, 2439612204830872620697726926561, 3054068039108858195570513558702127273

Offset

1,2

Links

Table of n, a(n) for n=1..13.

Example

For n = 3 we have 1 + 1/(3/2 + 6/11) = 67/45, the denominator of which is 45.

Prog

;; PLT DrScheme (Joshua Zucker)
;; (harmonic n) gives the n-th partial sum of the harmonic series.
;; cf->frac is a utility that converts a continued fraction to a fraction.
(define (A113065 n)
(denominator (cf->frac (build-list n (lambda (k) (harmonic (add1 k)))))))

Crossrefs

Cf. A113064, A001008, A002805.

Sequence in context: A245066 A352409 A187662 * A144949 A144950 A144951

Adjacent sequences: A113062 A113063 A113064 * A113066 A113067 A113068

Keyword

frac,nonn

Author

Leroy Quet, Oct 13 2005

Extensions

More terms from Joshua Zucker, May 08 2006

Status

approved