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n*3^(n-1)+A081567(n).
1

%I #11 Aug 06 2022 12:56:19

%S 1,4,16,62,233,855,3083,10978,38746,135924,474955,1655789,5766389,

%T 20080608,69976772,244166410,853410637,2988825507,10490538559,

%U 36905911166,130139760590,459970519296,1629395348591,5784362027257

%N n*3^(n-1)+A081567(n).

%C Binomial transform of A081663.

%H Harvey P. Dale, <a href="/A081666/b081666.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (11,-44,75,-45).

%F a(n)=A027471(n-1)+A081567(n) G.f.: (1-7x+16x^2-13x^3)/((3x - 1)^2(5x^2-5x+1))

%t LinearRecurrence[{11,-44,75,-45},{1,4,16,62},30] (* _Harvey P. Dale_, Aug 06 2022 *)

%Y Cf. A000045.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Mar 26 2003