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.

A114182 F(4n) - 2n - 1 where F(n) = Fibonacci numbers. Also, the floor of the log base phi of sequence A090162 (phi = (1+Sqrt(5))/2).

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%I A114182 #10 Jun 13 2015 00:52:02
%S A114182 0,16,137,978,6754,46355,317796,2178292,14930333,102334134,701408710,
%T A114182 4807526951,32951280072,225851433688,1548008755889,10610209857690,
%U A114182 72723460248106,498454011879227,3416454622906668,23416728348467644
%N A114182 F(4n) - 2n - 1 where F(n) = Fibonacci numbers. Also, the floor of the log base phi of sequence A090162 (phi = (1+Sqrt(5))/2).
%H A114182 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (9,-16,9,-1).
%F A114182 G.f. x^2*(16-7*x+x^2) / ( (x^2-7*x+1)*(x-1)^2 ). - _R. J. Mathar_, Oct 19 2012
%F A114182 a(0)=0, a(1)=16, a(2)=137, a(3)=978, a(n)=9*a(n-1)-16*a(n-2)+ 9*a(n-3)- a(n-4). - _Harvey P. Dale_, May 28 2015
%t A114182 Table[Fibonacci[4n]-2n-1,{n,20}] (* or *) LinearRecurrence[{9,-16,9,-1},{0,16,137,978},20] (* _Harvey P. Dale_, May 28 2015 *)
%Y A114182 Cf. A033888.
%K A114182 easy,nonn
%O A114182 1,2
%A A114182 _Greg Huber_, Feb 04 2006
%E A114182 Corrected by _R. J. Mathar_, Oct 19 2012