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 A083659 Denominator of fraction equal to the continued fraction [p(n); p(n-1),...,5,3,2]. 3

%I #8 Nov 03 2018 20:50:15

%S 1,2,7,37,266,2963,38785,662308,12622637,290982959,8451128448,

%T 262275964847,9712661827787,398481410904114,17144413330704689,

%U 806185907954024497,42744997534894003030,2522761040466700203267,153931168466003606402317,10315911048262708329158506

%N Denominator of fraction equal to the continued fraction [p(n); p(n-1),...,5,3,2].

%H Alois P. Heinz, <a href="/A083659/b083659.txt">Table of n, a(n) for n = 1..351</a>

%e The 5th term is 266 because 11+1/(7+1/(5+1/(3+1/2))) = 2963/266.

%p b:= proc(n) option remember;

%p `if`(n=1, 0, 1/b(n-1)) + ithprime(n)

%p end:

%p a:= n-> denom(b(n)):

%p seq(a(n), n=1..20); # _Alois P. Heinz_, Nov 03 2018

%t Table[Denominator[FromContinuedFraction[Prime[Range[n, 1, -1]]]], {n, 1, 20}]

%Y Cf. A036247, A036248.

%K easy,frac,nonn

%O 1,2

%A _Hollie L. Buchanan II_, Jun 14 2003

%E One term corrected and extended by _Alois P. Heinz_, Nov 03 2018

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Last modified November 30 23:40 EST 2023. Contains 367464 sequences. (Running on oeis4.)