A253267 Decimal expansion of a constant related to A152686.

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

Offset

1,3

Links

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

Formula

Equals limit n->infinity A152686(n) / (((1+sqrt(5))/2)^(n*(n+1)*(n+2)/6) * A062073^n / 5^(n*(n+1)/4)).

Example

1.0964140725073244231102159988444403759459296087776979384650568137801405219...

Mathematica

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

Crossrefs

Cf. A062073, A062381, A152686.

Sequence in context: A200280 A198363 A331550 * A309070 A010544 A343308

Adjacent sequences: A253264 A253265 A253266 * A253268 A253269 A253270

Keyword

nonn,cons

Author

Vaclav Kotesovec, May 01 2015

Status

approved