A088386 a(n) = 2^n*(n!)^3.

1, 2, 32, 1728, 221184, 55296000, 23887872000, 16387080192000, 16780370116608000, 24465779630014464000, 48931559260028928000000, 130255810750197006336000000, 450164081952680853897216000000, 1978020976100079672024367104000000, 10855379116837237240069726666752000000

Offset: 0

Author

Cino Hilliard, Nov 08 2003

Keywords

• nonn
• easy

Comments

A010050(n) / a(n) is the probability that there will be no intersections among n rays in the plane with endpoints chosen randomly, uniformly, and independently on a given line segment and angles chosen randomly, uniformly, and independently in [0, 2*Pi). - Jason Zimba, Apr 03 2022

Links

• G. C. Greubel, Table of n, a(n) for n = 0..172

Crossrefs

Cf. A000165, A010050, A055546.

Programs

Magma

[2^n*Factorial(n)^3: n in [0..20]]; // G. C. Greubel, Dec 12 2022

Mathematica

Table[2^n*(n!)^3, {n,0,20}] (* G. C. Greubel, Dec 12 2022 *)

PARI

for(n=0,20,print1(2^n*(n!)^3, ", "));

SageMath

[2^n*factorial(n)^3 for n in range(21)] # G. C. Greubel, Dec 12 2022

Formula

a(0) = 1; a(n) = 2*n^3*a(n-1) for n >= 1. - Georg Fischer, May 23 2021

Extensions

Offset corrected from 1 to 0 and definition changed by Georg Fischer, May 23 2021