A196258 a(n) = 11^n*n!.
1, 11, 242, 7986, 351384, 19326120, 1275523920, 98215341840, 8642950081920, 855652058110080, 94121726392108800, 11388728893445164800, 1503312213934761753600, 214973646592670930764800, 33105941575271323337779200
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..300
Crossrefs
Programs
-
Magma
[(Factorial(n)*11^n): n in [0..20]]; // Vincenzo Librandi, Oct 28 2011
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Mathematica
Table[11^n n!,{n,0,20}] (* Harvey P. Dale, Sep 21 2015 *) -
PARI
a(n)=11^n*n! \\ Charles R Greathouse IV, Nov 22 2011
Formula
a(n) = 11^n*n!.
E.g.f.: 1/(1-11*x).
From Amiram Eldar, Jun 25 2020: (Start)
Sum_{n>=0} 1/a(n) = e^(1/11).
Sum_{n>=0} (-1)^n/a(n) = e^(-1/11). (End)