A134477 a(n) = denominator of Product_{j=1..n} 1/(1 + 1/A134473(j)).

3, 33, 4389, 54580141, 2166761528097045187, 525888246710053092756770266260096718495, 85044441430633398942448813011607889701451771024726384367542315571820259496552289000

Offset

1,1

Comments

The numerator of Product_{j=1..n} 1/(1 + 1/A134473(j)) is A134476(n). A134476(n)/A134477(n) approaches a constant (0.6037789...) as n approaches infinity.

Links

Table of n, a(n) for n=1..7.

Maple

Digits := 220 ; A134473 := proc(n) option remember ; local su, mu ; if n =1 then 2; else su := add(1/procname(k), k=1..n-1) ; mu := mul(1/(1+1/procname(j)), j=1..n-1) ; ceil( (1+su+sqrt((su-1)^2+4*mu))/2/(mu-su) ) ; fi; end: A134477 := proc(n) mul(1/(1+1/A134473(k)), k=1..n) ; denom(%) ; end: seq(A134477(n), n=1..9) ; # R. J. Mathar, Jul 20 2009

Crossrefs

Cf. A134473, A134474, A134475, A134476.

Sequence in context: A038694 A319750 A204687 * A080985 A006854 A241793

Adjacent sequences: A134474 A134475 A134476 * A134478 A134479 A134480

Keyword

frac,nonn

Author

Leroy Quet, Oct 27 2007

Extensions

More terms from R. J. Mathar, Jul 20 2009

Status

approved