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.
%I A145978 #41 Dec 31 2023 11:35:28
%S A145978 1,1,-7,-15,41,161,-167,-1455,-119,11521,12473,-79695,-179479,458081,
%T A145978 1893913,-1770735,-16922039,-2756159,132620153,154669425,-906291799,
%U A145978 -2143647199,5106687193,22255864785,-18597632759,-196644551039,-47863488967,1525292919345
%N A145978 Expansion of 1/(1-x*(1-8*x)).
%C A145978 Row sums of Riordan array (1,1(1-8x)).
%H A145978 G. C. Greubel, <a href="/A145978/b145978.txt">Table of n, a(n) for n = 0..1000</a>
%H A145978 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (1,-8).
%F A145978 a(n) = a(n-1) - 8*a(n-2), a(0)=1, a(1)=1.
%F A145978 a(n) = Sum_{k=0..n} A109466(n,k)*8^(n-k).
%t A145978 LinearRecurrence[{1,-8},{1,1},50] (* _G. C. Greubel_, Jan 29 2016 *)
%o A145978 (Sage) [lucas_number1(n,1,8) for n in range(1, 27)] # _Zerinvary Lajos_, Apr 22 2009
%o A145978 (PARI) Vec(1/(1-x*(1-8*x)) + O(x^40)) \\ _Michel Marcus_, Jan 29 2016
%o A145978 (Magma) I:=[1,1]; [n le 2 select I[n] else Self(n-1) - 8*Self(n-2): n in [1..30]]; // _G. C. Greubel_, Jan 19 2018
%Y A145978 Cf. A010892, A107920, A106852, A106853, A106854, A145934, A145976.
%K A145978 sign,easy
%O A145978 0,3
%A A145978 _Philippe Deléham_, Oct 26 2008