A198770 11*5^n-1.
10, 54, 274, 1374, 6874, 34374, 171874, 859374, 4296874, 21484374, 107421874, 537109374, 2685546874, 13427734374, 67138671874, 335693359374, 1678466796874, 8392333984374, 41961669921874, 209808349609374, 1049041748046874
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (6,-5).
Programs
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Magma
[11*5^n-1: n in [0..30]];
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Mathematica
CoefficientList[Series[2*(5 - 3*x)/(1 - 6*x + 5*x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 04 2013 *) 11*5^Range[0,20]-1 (* or *) LinearRecurrence[{6,-5},{10,54},30] (* Harvey P. Dale, May 14 2019 *)
Formula
a(n) = 5*a(n-1)+4.
a(n)= = 6*a(n-1)-5*a(n-2), n>1.
G.f.: 2*(5 - 3*x)/(1 - 6*x + 5*x^2). - Vincenzo Librandi, Jan 04 2013