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A169604 a(n) = 3*6^n.

%I A169604 #16 Jan 17 2025 07:08:32
%S A169604 3,18,108,648,3888,23328,139968,839808,5038848,30233088,181398528,
%T A169604 1088391168,6530347008,39182082048,235092492288,1410554953728,
%U A169604 8463329722368,50779978334208,304679870005248,1828079220031488,10968475320188928,65810851921133568,394865111526801408
%N A169604 a(n) = 3*6^n.
%C A169604 a(n) = A081341(n+1).
%C A169604 Essentially first differences of A125682.
%C A169604 Binomial transform of A005053 without initial term 1.
%C A169604 Second binomial transform of A164346.
%C A169604 Inverse binomial transform of A169634.
%C A169604 Second inverse binomial transform of A103333 without initial term 1.
%C A169604 Contribution from _Reinhard Zumkeller_, May 02 2010: (Start)
%C A169604 a(n) = 3*A000400(n) = A000400(n+1)/2;
%C A169604 subsequence of A003586; a(n)=A003586(A014105(n)) for n<6. (End)
%H A169604 Vincenzo Librandi, <a href="/A169604/b169604.txt">Table of n, a(n) for n = 0..300</a>
%H A169604 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (6).
%F A169604 a(n) = 6*a(n-1) for n > 0; a(0) = 3.
%F A169604 G.f.: 3/(1-6*x).
%t A169604 3*6^Range[0, 25] (* _Paolo Xausa_, Jan 17 2025 *)
%o A169604 (Magma) [ 3*6^n: n in [0..19] ];
%o A169604 (PARI) a(n)=3*6^n \\ _Charles R Greathouse IV_, Oct 16 2015
%Y A169604 Cf. A081341, A125682 ((6^n-1)*3/5), A005053 (expand (1-2x)/(1-5x)), A164346 (3*4^n), A169634 (3*7^n), A103333 (expand (1-5x)/(1-8x)).
%K A169604 nonn,easy
%O A169604 0,1
%A A169604 _Klaus Brockhaus_, Apr 04 2010