A210278 (5n)!/5^n.

1, 24, 145152, 10461394944, 3892643213082624, 4963587213865915514880, 16976183027980227752723742720, 132264293969742655099733137120296960, 2088743125114618199924764850166056689336320, 61246577083125859615725138685776750112964471685120

Offset: 0

Author

Mohammad K. Azarian, Mar 20 2012

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..90

Crossrefs

Cf. A210277, A000680, A067630, A084939, A084940, A084941, A084942, A084943, A084944, A087127, A001147, A132101.

Programs

Magma

[Factorial(5*n)/5^n: n in [0..10]]; // Vincenzo Librandi, Feb 15 2013

Mathematica

Table[(5 n)!/5^n, {n, 0, 10}] (* Vincenzo Librandi, Feb 15 2013 *)
With[{nn=100},Take[CoefficientList[Series[1/(1-x^5/5),{x,0,nn}],x] Range[0,nn]!,{1,-1,5}]] (* Harvey P. Dale, May 27 2025 *)

Formula

E.g.f.: 1/(1-x^5/5).