A024021 2^n-n^11.

1, 1, -2044, -177139, -4194288, -48828093, -362796992, -1977326615, -8589934336, -31381059097, -99999998976, -285311668563, -743008366592, -1792160385845, -4049565153280, -8649755826607, -17592185978880

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..235
• Index entries for linear recurrences with constant coefficients, signature (14,-90,352,-935,1782,-2508,2640,-2079,1210,-506,144,-25,2).

Programs

Magma

[2^n-n^11: n in [0..30] ]; // Vincenzo Librandi, Apr 30 2011

Mathematica

Table[2^n-n^11,{n,0,20}] (* Harvey P. Dale, Aug 17 2019 *)

Formula

G.f.: -(3*x^12 +4059*x^11 +303304*x^10 +4254119*x^9 [phone]*x^8 [phone]*x^7 +3752904*x^6 -5331930*x^5 -1897719*x^4 -148785*x^3 -1968*x^2 -13*x +1) / ((x -1)^12*(2*x -1)). - Colin Barker, Oct 04 2014