login
Numbers i such that Fibonacci(i) is divisible by i+k for k=0..5.
5

%I #18 Dec 07 2019 12:18:29

%S 13440,19440,329400,600600,2499840,3150840,5590200,7660800,69069000,

%T 83980800,96049800,98385840,175472640,179663400,237484800,320498640,

%U 330663600,375396840,404351640,406380240,429660000,437940000,505234800,574585200,635980800

%N Numbers i such that Fibonacci(i) is divisible by i+k for k=0..5.

%C A subsequence of A298686.

%H Chai Wah Wu, <a href="/A298687/b298687.txt">Table of n, a(n) for n = 1..57</a>

%o (Python)

%o p0 = 0

%o p1 = 1

%o for i in range(1,1000000):

%o if p1 % i == 0 and p1 % (i+1) == 0 and p1 % (i+2) == 0:

%o if p1 % (i+3) == 0 and p1 % (i+4) == 0 and p1 % (i+5) == 0: print i

%o p0, p1 = p1, p0+p1

%Y Cf. A000045, A023172, A217738, A221018, A225219, A298684, A298685, A298686.

%K nonn

%O 1,1

%A _Alex Ratushnyak_, Jan 24 2018

%E a(9)-a(25) from _Chai Wah Wu_, Jan 27 2018