A196258 a(n) = 11^n*n!.

1, 11, 242, 7986, 351384, 19326120, 1275523920, 98215341840, 8642950081920, 855652058110080, 94121726392108800, 11388728893445164800, 1503312213934761753600, 214973646592670930764800, 33105941575271323337779200

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..300

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)

Mathematica

Table[11^n n!, {n, 0, 20}] (* Harvey P. Dale, Sep 21 2015 *)

Prog

(Magma) [(Factorial(n)*11^n): n in [0..20]]; // Vincenzo Librandi, Oct 28 2011
(PARI) a(n)=11^n*n! \\ Charles R Greathouse IV, Nov 22 2011

Crossrefs

Cf. A000142, A000165, A032031, A047053, A052562, A047058, A051188, A051189, A051232, A051262, A145448.

Sequence in context: A361143 A267642 A267665 * A121826 A041223 A041220

Adjacent sequences: A196255 A196256 A196257 * A196259 A196260 A196261

Keyword

nonn,easy,less

Author

Philippe Deléham, Oct 27 2011

Status

approved