A253268 Product_{k=1..n} Fibonacci(k)^k.

1, 1, 8, 648, 2025000, 530841600000, 33309523161907200000, 1259861409934788058133299200000, 76494996113757662751632456649087438028800000, 19375812441937279261781767910157290423127539712000000000000000

Offset

1,3

Links

Table of n, a(n) for n=1..10.

Formula

a(n) ~ c * ((1+sqrt(5))/2)^(n*(n+1)*(2*n+1)/6) / 5^(n*(n+1)/4), where c = A253270 = 1.1188674438617789501735355690557711005492672642422237428157122531318... .

Mathematica

Table[Product[Fibonacci[k]^k, {k, 1, n}], {n, 1, 10}]
FoldList[Times, Table[Fibonacci[n]^n, {n, 10}]] (* Harvey P. Dale, Oct 17 2019 *)

Crossrefs

Cf. A000045, A003266, A062381, A152686, A253270.

Sequence in context: A258385 A352593 A267968 * A235368 A247731 A231849

Adjacent sequences: A253265 A253266 A253267 * A253269 A253270 A253271

Keyword

nonn,easy

Author

Vaclav Kotesovec, May 01 2015

Status

approved