A155673 a(n) = 11^n + 10^n - 1.
1, 20, 220, 2330, 24640, 261050, 2771560, 29487170, 314358880, 3357947690, 35937424600, 385311670610, 4138428376720, 44522712143930, 479749833583240, 5177248169415650, 55949729863572160, 605447028499293770
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (22,-131,110).
Crossrefs
Programs
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Mathematica
Table[11^n+10^n-1,{n,0,20}] (* Harvey P. Dale, Feb 24 2011 *)
Formula
G.f.: 1/(1-11*x)+1/(1-10*x)-1/(1-x).
E.g.f.: e^(11*x)+e^(10*x)-e^x.
a(n) = 21*a(n-1)-110*a(n-2)-90 with a(0)=1, a(1)=20. - Vincenzo Librandi, Jul 21 2010
a(n) = 22*a(n-1)-131*a(n-2)+110*a(n-3). - Wesley Ivan Hurt, May 19 2024