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A253270 Decimal expansion of a constant related to A253268. 3
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..105.

FORMULA

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

EXAMPLE

1.1188674438617789501735355690557711005492672642422237428157122531318...

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}]

CROSSREFS

Cf. A062381, A253268.

Sequence in context: A195708 A019704 A140976 * A021057 A277235 A241058

Adjacent sequences:  A253267 A253268 A253269 * A253271 A253272 A253273

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, May 01 2015

STATUS

approved

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Last modified February 29 05:25 EST 2020. Contains 332353 sequences. (Running on oeis4.)