A298688 a(n) is the least i such that Fibonacci(i) is divisible by i+k for all k=0..n.

1, 60, 60, 540, 13440, 13440, 329400, 175472640, 50238568800

Offset: 0

Author

Alex Ratushnyak, Jan 24 2018

Keywords

• nonn
• hard
• more

Comments

a(0)..a(5) are first terms of sequences A023172, A217738, A298684, A298685, A298686, A298687.

Examples

			Least i such that Fibonacci(i) is divisible by i and i+1 (cf. A217738) is i=60, therefore a(1)=60.
Least i such that Fibonacci(i) is divisible by i, i+1, ..., i+5 (cf. A298687) is i=13440, therefore a(5)=13440.
		

Crossrefs

Cf. A000045, A023172, A217738, A221018, A225219, A298684, A298685, A298686, A298687.

Extensions

a(7) from Alois P. Heinz, Jan 25 2018

a(6) inserted by Chai Wah Wu, Jan 26 2018

a(8) from Silvester Resnik, May 18 2018