OFFSET
1,1
LINKS
Seiichi Manyama, Table of n, a(n) for n = 1..843
OEIS Wiki, A remarkable formula of Ramanujan
FORMULA
EXAMPLE
1/2, 3/4, 3/5, 9/13, 12/19, 39/58, 123/191, 87/131, 771/1187, 1473/2231, 11427/17519, 46779/71063, 19533/29881, ... = A225436/A289491 -> A108088.
A225436(1)/a(1) = 1/2 = 1/(1 + 1) = 1/2,
A225436(2)/a(2) = 3/4 = 1/(1 + 1/(1 + 2)) = 3/4,
A225436(3)/a(3) = 3/5 = 1/(1 + 1/(1 + 2/(1 + 3))) = 6/10,
A225436(4)/a(4) = 9/13 = 1/(1 + 1/(1 + 2/(1 + 3/(1 + 4)))) = 18/26.
MAPLE
p:= (i, n)-> `if`(i=n, (1+n), 1+i/p(i+1, n)):
a:= n-> denom(1/p(1, n)):
seq(a(n), n=1..30); # Alois P. Heinz, Sep 02 2017
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
Seiichi Manyama, Sep 02 2017
STATUS
approved