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A088386 a(n) = 2^n*(n!)^3. 1

%I #30 Dec 13 2022 02:59:33

%S 1,2,32,1728,221184,55296000,23887872000,16387080192000,

%T 16780370116608000,24465779630014464000,48931559260028928000000,

%U 130255810750197006336000000,450164081952680853897216000000,1978020976100079672024367104000000,10855379116837237240069726666752000000

%N a(n) = 2^n*(n!)^3.

%C 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

%H G. C. Greubel, <a href="/A088386/b088386.txt">Table of n, a(n) for n = 0..172</a>

%F a(0) = 1; a(n) = 2*n^3*a(n-1) for n >= 1. - _Georg Fischer_, May 23 2021

%t Table[2^n*(n!)^3, {n,0,20}] (* _G. C. Greubel_, Dec 12 2022 *)

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

%o (Magma) [2^n*Factorial(n)^3: n in [0..20]]; // _G. C. Greubel_, Dec 12 2022

%o (SageMath) [2^n*factorial(n)^3 for n in range(21)] # _G. C. Greubel_, Dec 12 2022

%Y Cf. A000165, A010050, A055546.

%K nonn,easy

%O 0,2

%A _Cino Hilliard_, Nov 08 2003

%E Offset corrected from 1 to 0 and definition changed by _Georg Fischer_, May 23 2021

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Last modified March 28 13:42 EDT 2024. Contains 371254 sequences. (Running on oeis4.)