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.

A152185 a(n) = -3*a(n-1) + 5*a(n-2), n > 1; a(0)=1, a(1)=-5.

This page as a plain text file.
%I A152185 #21 Jan 19 2024 09:10:43
%S A152185 1,-5,20,-85,355,-1490,6245,-26185,109780,-460265,1929695,-8090410,
%T A152185 33919705,-142211165,596232020,-2499751885,10480415755,-43940006690,
%U A152185 184222098845,-772366329985,3238209484180,-13576460102465
%N A152185 a(n) = -3*a(n-1) + 5*a(n-2), n > 1; a(0)=1, a(1)=-5.
%H A152185 Paolo Xausa, <a href="/A152185/b152185.txt">Table of n, a(n) for n = 0..1000</a>
%H A152185 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (-3,5).
%F A152185 G.f.: (1-2x)/(1+3x-5x^2).
%F A152185 a(n) = Sum_{k=0..n} A147703(n,k)*(-6)^k.
%F A152185 a(n) = (-1)^n*A152187(n). - _Philippe Deléham_, Nov 29 2008
%t A152185 LinearRecurrence[{-3, 5}, {1, -5}, 25] (* _Paolo Xausa_, Jan 19 2024 *)
%o A152185 (PARI) Vec((1-2*x)/(1+3*x-5*x^2)+O(x^99)) \\ _Charles R Greathouse IV_, Jan 11 2012
%Y A152185 Cf. A152163, A152166, A152167, A152174.
%K A152185 sign,easy
%O A152185 0,2
%A A152185 _Philippe Deléham_, Nov 28 2008