A109374 - OEIS

A109374

Irregular table read by rows: Row n is the terms of the continued fraction for prime(n+1)/prime(n).

1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 3, 1, 5, 2, 1, 3, 4, 1, 8, 2, 1, 4, 1, 3, 1, 3, 1, 5, 1, 14, 2, 1, 5, 6, 1, 9, 4, 1, 20, 2, 1, 10, 1, 3, 1, 7, 1, 5, 1, 8, 1, 5, 1, 29, 2, 1, 10, 6, 1, 16, 1, 3, 1, 35, 2, 1, 12, 6, 1, 19, 1, 3, 1, 13, 1, 5, 1, 11, 8, 1, 24, 4, 1, 50, 2, 1, 25, 1, 3, 1, 53, 2, 1, 27, 4, 1

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OFFSET

1,2

COMMENTS

Sequence A071866 gives the number of terms in the n-th continued fraction.

If n is in A029707, row n is [1, (prime(n)-1)/2, 2]. - Robert Israel, May 29 2018

LINKS

Robert Israel, Table of n, a(n) for n = 1..10003 (rows 1 to 2533, flattened)

EXAMPLE

Prime(4)/prime(3) = 7/5 = 1+ 1/(2+1/2), so the terms associated with the 3rd continued fraction are 1, 2, 2.

MAPLE

seq(op(convert(ithprime(n+1)/ithprime(n), confrac)), n=1..100); # Robert Israel, May 29 2018