A189071 The n-th derivative of x^10 evaluated at x=2.

1024, 5120, 23040, 92160, 322560, 967680, 2419200, 4838400, 7257600, 7257600, 3628800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset: 0

Author

Vincenzo Librandi, Apr 21 2011

Keywords

• nonn
• easy

Comments

This is the 10th row of A090802.

Links

• Index entries for linear recurrences with constant coefficients, signature (1).

Programs

Magma

[n lt 1 select 1024 else n lt 11 select (1/2)*(11-n)*Self(n) else 0: n in [0..67]];  // Bruno Berselli, Sep 08 2011

Mathematica

LinearRecurrence[{1},{1024, 5120, 23040, 92160, 322560, 967680, 2419200, 4838400, 7257600, 7257600, 3628800, 0},68] (* Ray Chandler, Jul 15 2015 *)

PARI

a(n)=if(n<11,10!/(10-n)!*2^(10-n)) \\ Charles R Greathouse IV, Sep 08 2011

Formula

a(n) = (1/2)*(11-n)*a(n-1), a(0)=1024. - Bruno Berselli, Sep 08 2011