A178840 Decimal expansion of the factorial of Golden Ratio.

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

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Formula

Factorial of Golden Ratio = Gamma(1 + phi) = Gamma((3 + sqrt(5))/2). - Bernard Schott, Jan 21 2019

Equals Gamma((sqrt(5) - 1)/2). - Vaclav Kotesovec, Jan 21 2019

Example

1.44922960226989660037787979062976833708408989096667607533702385813891...

Maple

evalf(GAMMA(1+evalf((1+sqrt(5))/2, 100)), 106); # Golden ratio

Mathematica

RealDigits[Gamma[(Sqrt[5] - 1)/2], 10, 120][[1]] (* Vaclav Kotesovec, Jan 20 2019 *)

Prog

(PARI) default(realprecision, 100); gamma((sqrt(5)-1)/2) \\ G. C. Greubel, Jan 21 2019
(Magma) SetDefaultRealField(RealField(100)); Gamma((Sqrt(5)-1)/2); // G. C. Greubel, Jan 21 2019
(Sage) numerical_approx(gamma(1/golden_ratio), digits=100) # G. C. Greubel, Jan 21 2019

Crossrefs

Cf. A111293, A178394, A178839.

Cf. A001622 (golden ratio).

Sequence in context: A143183 A165441 A204997 * A246668 A021073 A021961

Adjacent sequences: A178837 A178838 A178839 * A178841 A178842 A178843

Keyword

easy,nonn,cons

Author

Paolo P. Lava and Giorgio Balzarotti, Jun 17 2010

Status

approved