A083078 6th row of number array A083075.
1, 11, 141, 1831, 23801, 309411, 4022341, 52290431, 679775601, 8837082811, 114882076541, 1493466995031, 19415070935401, 252395922160211, 3281146988082741, 42654910845075631, 554513840985983201
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..900
- Index entries for linear recurrences with constant coefficients, signature (14,-13).
Programs
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Mathematica
LinearRecurrence[{14,-13},{1,11},30] (* Harvey P. Dale, Dec 27 2013 *)
Formula
a(n) = (5*13^n + 1)/6.
G.f.: (1-3*x)/((1-x)*(1-13*x)).
E.g.f.: (5*exp(13*x) + exp(x))/6.
a(n) = 13*a(n-1) - 2; a(n) = 14*a(n-1) - 13*a(n-2). - Vincenzo Librandi, Nov 11 2011