A253270 Decimal expansion of a constant related to A253268.

1, 1, 1, 8, 8, 6, 7, 4, 4, 3, 8, 6, 1, 7, 7, 8, 9, 5, 0, 1, 7, 3, 5, 3, 5, 5, 6, 9, 0, 5, 5, 7, 7, 1, 1, 0, 0, 5, 4, 9, 2, 6, 7, 2, 6, 4, 2, 4, 2, 2, 2, 3, 7, 4, 2, 8, 1, 5, 7, 1, 2, 2, 5, 3, 1, 3, 1, 8, 0, 1, 4, 3, 2, 9, 5, 7, 3, 2, 0, 6, 6, 5, 0, 3, 9, 0, 6, 7, 0, 8, 9, 6, 4, 8, 3, 0, 6, 8, 3, 0, 1, 1, 6, 6, 6

Offset: 1

Author

Vaclav Kotesovec, May 01 2015

Keywords

• nonn
• cons

Examples

			1.1188674438617789501735355690557711005492672642422237428157122531318...
		

Crossrefs

Cf. A062381, A253268.

Programs

Mathematica

(* Iterations: *) Do[Print[N[Product[Fibonacci[k]^k,{k,1,n}] / (GoldenRatio^(n*(n+1)*(2*n+1)/6) / 5^(n*(n+1)/4)),120]],{n,100,1000,100}]

Formula

Equals limit n->infinity A253268(n) / (((1+sqrt(5))/2)^(n*(n+1)*(2*n+1)/6) / 5^(n*(n+1)/4)).