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A083659 Denominator of fraction equal to the continued fraction [p(n); p(n-1),...,5,3,2]. 3
1, 2, 7, 37, 266, 2963, 38785, 662308, 12622637, 290982959, 8451128448, 262275964847, 9712661827787, 398481410904114, 17144413330704689, 806185907954024497, 42744997534894003030, 2522761040466700203267, 153931168466003606402317, 10315911048262708329158506 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..351

EXAMPLE

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

MAPLE

b:= proc(n) option remember;

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

    end:

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

seq(a(n), n=1..20);  # Alois P. Heinz, Nov 03 2018

MATHEMATICA

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

CROSSREFS

Cf. A036247, A036248.

Sequence in context: A001515 A144301 A036247 * A107877 A001028 A116481

Adjacent sequences:  A083656 A083657 A083658 * A083660 A083661 A083662

KEYWORD

easy,frac,nonn

AUTHOR

Hollie L. Buchanan II, Jun 14 2003

EXTENSIONS

One term corrected and extended by Alois P. Heinz, Nov 03 2018

STATUS

approved

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Last modified December 3 16:20 EST 2020. Contains 338906 sequences. (Running on oeis4.)