cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A144708 a(n) = 6^n * (1-4*n).

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%I A144708 #16 Jun 16 2022 04:04:31
%S A144708 1,-18,-252,-2376,-19440,-147744,-1073088,-7558272,-52068096,
%T A144708 -352719360,-2358180864,-15600273408,-102308769792,-666095394816,
%U A144708 -4310029025280,-27740914089984,-177729924169728,-1134086182797312,-7210756923457536
%N A144708 a(n) = 6^n * (1-4*n).
%H A144708 G. C. Greubel, <a href="/A144708/b144708.txt">Table of n, a(n) for n = 0..1000</a>
%H A144708 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-36).
%F A144708 G.f.: (1-30*x)/(1-6*x)^2.
%F A144708 E.g.f.: (1-24*x)*exp(6*x). - _G. C. Greubel_, Jun 16 2022
%t A144708 Table[6^n (1-4n),{n,0,20}] (* _Harvey P. Dale_, Apr 01 2011 *)
%o A144708 (Magma) [(1-4*n)*6^n: n in [0..30]]; // _G. C. Greubel_, Jun 16 2022
%o A144708 (SageMath) [(1-4*n)*6^n for n in (0..30)] # _G. C. Greubel_, Jun 16 2022
%Y A144708 Hankel transform of A144706.
%Y A144708 Cf. A000400, A131098.
%K A144708 easy,sign
%O A144708 0,2
%A A144708 _Paul Barry_, Sep 19 2008