A083331 - OEIS

%I #7 Jul 02 2023 18:06:27

%S 1,5,26,137,722,3785,19706,101897,523682,2677385,13629386,69136457,

%T 349699442,1764742985,8889229466,44709799817,224608392002,

%U 1127293880585,5653520131946,28335932715977,141953379225362,710862920970185

%N a(n) = (3*5^n - 2*4^n + 3^n)/2.

%C Binomial transform of A083330.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (12, -47, 60).

%F a(n) = (3*5^n - 2*4^n + 3^n)/2.

%F G.f.: (1-7x+13x^2)/(2(1-3x)(1-4x)(1-5x)).

%F E.g.f.: (3*exp(5x) - 2*exp(4x) + exp(3x))/2.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Apr 27 2003