A083077 Fifth row of number array A083075.
1, 9, 97, 1065, 11713, 128841, 1417249, 15589737, 171487105, 1886358153, 20749939681, 228249336489, 2510742701377, 27618169715145, 303799866866593, 3341798535532521, 36759783890857729, 404357622799435017
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..900
- Index entries for linear recurrences with constant coefficients, signature (12,-11).
Programs
-
Magma
[(4*11^n+1)/5: n in [0..30]]; // Vincenzo Librandi, Nov 10 2011
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Mathematica
LinearRecurrence[{12,-11},{1,9},30] (* Harvey P. Dale, Jun 14 2015 *)
Formula
a(n) = (4*11^n + 1)/5.
G.f.: (1-3*x)/((1-x)*(1-11*x)).
E.g.f.: (4*exp(11*x) + exp(x))/5.
a(n) = 11*a(n-1) - 2, a(n) = 12*a(n-1) - 11*a(n-2). - Vincenzo Librandi, Nov 10 2011