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a(n) = 6^n * (1-4*n).
2

%I #16 Jun 16 2022 04:04:31

%S 1,-18,-252,-2376,-19440,-147744,-1073088,-7558272,-52068096,

%T -352719360,-2358180864,-15600273408,-102308769792,-666095394816,

%U -4310029025280,-27740914089984,-177729924169728,-1134086182797312,-7210756923457536

%N a(n) = 6^n * (1-4*n).

%H G. C. Greubel, <a href="/A144708/b144708.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-36).

%F G.f.: (1-30*x)/(1-6*x)^2.

%F E.g.f.: (1-24*x)*exp(6*x). - _G. C. Greubel_, Jun 16 2022

%t Table[6^n (1-4n),{n,0,20}] (* _Harvey P. Dale_, Apr 01 2011 *)

%o (Magma) [(1-4*n)*6^n: n in [0..30]]; // _G. C. Greubel_, Jun 16 2022

%o (SageMath) [(1-4*n)*6^n for n in (0..30)] # _G. C. Greubel_, Jun 16 2022

%Y Hankel transform of A144706.

%Y Cf. A000400, A131098.

%K easy,sign

%O 0,2

%A _Paul Barry_, Sep 19 2008