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

Author

Paolo P. Lava and Giorgio Balzarotti, Jun 17 2010

Keywords

• easy
• nonn
• cons

Examples

			1.44922960226989660037787979062976833708408989096667607533702385813891...
		

Links

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

Crossrefs

Cf. A111293, A178394, A178839.

Cf. A001622 (golden ratio).

Programs

Magma

SetDefaultRealField(RealField(100)); Gamma((Sqrt(5)-1)/2); // G. C. Greubel, Jan 21 2019

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 *)

PARI

default(realprecision, 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

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