%I #6 Jun 30 2023 15:10:24
%S 6,22,70,214,646,1942,5830,17494,52486,157462,472390,1417174,4251526,
%T 12754582,38263750,114791254,344373766,1033121302,3099363910,
%U 9298091734,27894275206,83682825622,251048476870,753145430614,2259436291846
%N a(n) = 3*a(n-1)+4 for n > 0; a(0) = 6.
%C Binomial transform of A171494; second binomial transform of A010726.
%C Inverse binomial transform of A171496.
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4, -3).
%F a(n) = 2*(4*3^n-1).
%F G.f.: 2*(3-x)/((1-x)*(1-3*x)).
%t NestList[3#+4&,6,30] (* _Harvey P. Dale_, Aug 25 2019 *)
%o (PARI) {m=25; v=concat([6], vector(m-1)); for(n=2, m, v[n]=3*v[n-1]+4); v}
%Y Equals 2*A171498.
%Y Cf. A010726 (repeat 6, 10), A171494, A171496.
%K nonn
%O 0,1
%A _Klaus Brockhaus_, Dec 10 2009
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