%I #14 Jan 24 2018 03:35:14
%S 3,3,4,4,6,17,36,44,49,74,122,126,744,7814,9238,9432,52114,33241100,
%T 85747623,353210861,355051655,1950030118,32235431345,50590143817,
%U 58937626393,482819610949,1515905452711,2679281166868,25090147463646,207012319502700
%N From Engel product expansion of 4/7.
%H A. Knopfmacher, <a href="https://doi.org/10.1007/978-94-011-2058-6_41">Rational numbers with predictable Engel product expansions</a>, in G. E. Bergum et al., eds., Applications of Fibonacci Numbers. Vol. 5, pp. 421-427.
%H <a href="/index/El#Engel">Index entries for sequences related to Engel expansions</a>
%F a(n) = 1 + floor(1 / ((1-A(n)) * b(n-1))), A(n) = A(n-1) * b(n-1) / (b(n-1) - 1), b(n) = Product_{k=1..n} a(n), b(0) = 1, A(1) = 4/7. - _Sean A. Irvine_, Jan 23 2018
%K nonn
%O 1,1
%A _Arnold Knopfmacher_
%E More terms from _Sean A. Irvine_, Jan 23 2018