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.

A295728 a(n) = a(n-1) + 3*a(n-2) -2*a(n-3) - 2*a(n-4), where a(0) = 1, a(1) = -1, a(2) = 1, a(3) = 1.

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%I A295728 #6 Aug 27 2021 21:18:59
%S A295728 1,-1,1,1,4,7,15,26,49,83,148,247,427,706,1197,1967,3292,5387,8935,
%T A295728 14578,24025,39115,64164,104303,170515,276866,451477,732439,1192108,
%U A295728 1932739,3141231,5090354,8264353,13387475,21717364,35170375,57018811,92320258,149601213
%N A295728 a(n) = a(n-1) + 3*a(n-2) -2*a(n-3) - 2*a(n-4), where a(0) = 1, a(1) = -1, a(2) = 1, a(3) = 1.
%C A295728 a(n)/a(n-1) -> (1 + sqrt(5))/2 = golden ratio (A001622), so that a( ) has the growth rate of the Fibonacci numbers (A000045).
%H A295728 Clark Kimberling, <a href="/A295728/b295728.txt">Table of n, a(n) for n = 0..2000</a>
%H A295728 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1, 3, -2, -2)
%F A295728 a(n) = a(n-1) + a(n-3) + a(n-4), where a(0) = 1, a(1) = -1, a(2) = 1, a(3) = 1.
%F A295728 G.f.: (1 - 2 x - x^2 + 5 x^3)/(1 - x - 3 x^2 + 2 x^3 + 2 x^4).
%t A295728 LinearRecurrence[{1, 3, -2, -2}, {1, -1, 1, 1}, 100]
%Y A295728 Cf. A001622, A000045, A005672.
%K A295728 easy,sign
%O A295728 0,5
%A A295728 _Clark Kimberling_, Nov 29 2017