A139741 a(n) = 11^n - 3^n.
0, 8, 112, 1304, 14560, 160808, 1770832, 19484984, 214352320, 2357928008, 25937365552, 285311493464, 3138427845280, 34522710549608, 379749828800272, 4177248155066744, 45949729820525440, 505447028370153608, 5559917313104810992, 61159090447252284824, 672749994929073224800
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..300
- Index entries for linear recurrences with constant coefficients, signature (14,-33).
Programs
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Magma
[11^n-3^n: n in [0..30]]; // Vincenzo Librandi, Jun 02 2011
Formula
a(n) = 14*a(n-1) - 33*a(n-2). - Vincenzo Librandi, Jun 02 2011
From Bruno Berselli, Oct 05 2014: (Start)
G.f.: 8*x/((1 - 3*x)*(1 - 11*x)).
a(n+1) = 8*A016146(n). (End)
E.g.f.: 2*exp(7*x)*sinh(4*x). - Elmo R. Oliveira, Mar 31 2025