A155650 a(n) = 7^n - 6^n + 1.
1, 2, 14, 128, 1106, 9032, 70994, 543608, 4085186, 30275912, 222009074, 1614529688, 11664504866, 83828316392, 599858908754, 4277376525368, 30411820662146, 215703854542472, 1526853641242034, 10789535445362648
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (14,-55,42).
Programs
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Maple
A155650:=n->7^n - 6^n + 1; seq(A155650(n), n=0..30); # Wesley Ivan Hurt, Jan 28 2014
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Mathematica
Table[7^n - 6^n + 1, {n, 0, 30}] (* Wesley Ivan Hurt, Jan 28 2014 *) -
PARI
a(n)= 7^n-6^n+1 \\ Charles R Greathouse IV, Dec 22 2011
Formula
G.f.: 1/(1-7*x)-1/(1-6*x)+1/(1-x).
E.g.f.: e^(7*x)-e^(6*x)+e^x.
a(n) = 13*a(n-1)-42*a(n-2)+30 with a(0)=1, a(1)=2. [Vincenzo Librandi, Jul 21 2010]