A199208 a(n) = 9*4^n+1.
10, 37, 145, 577, 2305, 9217, 36865, 147457, 589825, 2359297, 9437185, 37748737, 150994945, 603979777, 2415919105, 9663676417, 38654705665, 154618822657, 618475290625, 2473901162497, 9895604649985, 39582418599937
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (5,-4).
Programs
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Magma
[9*4^n+1: n in [0..30]];
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Mathematica
NestList[4#-3&,10,30] (* or *) LinearRecurrence[{5,-4},{10,37},30] (* Harvey P. Dale, Sep 28 2023 *)
Formula
a(n) = 4*a(n-1)-3.
a(n) = 5*a(n-1)-4*a(n-2).
G.f.: (10-13*x)/((1-x)*(1-4*x)). - Bruno Berselli, Nov 04 2011