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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.

A114960 Expansion of (-1+3*x-5*x^2+4*x^3) / ((1-2*x)*(2*x^2-1)*(x-1)^2).

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%I A114960 #8 Aug 11 2023 13:52:54
%S A114960 1,1,6,11,30,57,128,247,518,1013,2068,4083,8242,16369,32880,65519,
%T A114960 131310,262125,524780,1048555,2098154,4194281,8390632,16777191,
%U A114960 33558502,67108837,134225892,268435427,536887266,1073741793
%N A114960 Expansion of (-1+3*x-5*x^2+4*x^3) / ((1-2*x)*(2*x^2-1)*(x-1)^2).
%H A114960 Colin Barker, <a href="/A114960/b114960.txt">Table of n, a(n) for n = 1..1000</a>
%H A114960 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (4,-3,-6,10,-4).
%F A114960 a(n) = 2^n - n - 1 - ((-1)^n - 1)*2^(1/2*n)*sqrt(2)/4.
%F A114960 a(n+2) - 2*a(n+1) + a(n) = A113979(n+4) - A113979(n+3).
%F A114960 a(n) = 4*a(n-1) - 3*a(n-2) - 6*a(n-3) + 10*a(n-4) - 4*a(n-5) for n>5. - _Colin Barker_, May 18 2019
%t A114960 CoefficientList[Series[(-1+3x-5x^2+4x^3)/((1-2x)(2x^2-1)(x-1)^2),{x,0,40}],x] (* or *) LinearRecurrence[ {4,-3,-6,10,-4},{1,1,6,11,30},40] (* _Harvey P. Dale_, Aug 11 2023 *)
%o A114960 (PARI) Vec(x*(1 - 3*x + 5*x^2 - 4*x^3) / ((1 - x)^2*(1 - 2*x)*(1 - 2*x^2)) + O(x^40)) \\ _Colin Barker_, May 18 2019
%Y A114960 Cf. A113979.
%K A114960 easy,nonn
%O A114960 1,3
%A A114960 _Creighton Dement_, Feb 21 2006