A107898 - OEIS

A107898

Length of continued fraction for n/prime(n).

2, 3, 4, 4, 3, 3, 4, 5, 5, 4, 5, 3, 4, 3, 4, 4, 4, 6, 5, 6, 4, 6, 7, 6, 5, 6, 6, 7, 5, 6, 4, 5, 6, 4, 5, 4, 4, 5, 6, 4, 7, 5, 6, 7, 7, 4, 4, 8, 9, 9, 6, 6, 7, 7, 5, 7, 8, 5, 8, 6, 8, 8, 6, 5, 7, 5, 6, 6, 4, 4, 5, 4, 4, 5, 5, 4, 4, 4, 4, 5, 7, 5, 5, 5, 4, 8, 6, 6, 7, 5, 7, 6, 6, 5, 5, 6, 4, 5, 7, 8, 6, 6, 6, 5, 7

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Continued Fraction.

FORMULA

a(n) = A107901(n) + 1.

MAPLE

[seq(nops(convert(n/ithprime(n), confrac)), n=1..200)]; # Robert Israel, Jan 26 2020

MATHEMATICA

A107898[n_]=Length[ContinuedFraction[n/Prime[n]]