A064171 a(1) = 1; a(n+1) = product of numerator and denominator of the continued fraction, [a(1); a(2), a(3),..., a(n)].

1, 1, 2, 15, 3542, 44438728965, 87757630046458789424678387797052, 675856755205061509378984088665012353791755857887475951486745195889516813384613294753875414807401

Offset

1,3

Comments

Numerator and denominator in definition have no common divisors >1.

Links

Table of n, a(n) for n=1..8.

Example

[a(1); a(2), a(3)] = 1 + 1/(1 + 1/2) = 5/3. So a(4) = 5 * 3 = 15.

Crossrefs

Sequence in context: A193869 A320768 A337799 * A365628 A135085 A290042

Adjacent sequences: A064168 A064169 A064170 * A064172 A064173 A064174

Keyword

nonn

Author

Leroy Quet, Sep 19 2001

Extensions

a(8) from Sean A. Irvine, Jun 17 2023

Status

approved