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.

A022316 a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 11.

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%I A022316 #11 Aug 25 2017 23:35:21
%S A022316 0,11,12,24,37,62,100,163,264,428,693,1122,1816,2939,4756,7696,12453,
%T A022316 20150,32604,52755,85360,138116,223477,361594,585072,946667,1531740,
%U A022316 2478408,4010149,6488558,10498708
%N A022316 a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 11.
%H A022316 G. C. Greubel, <a href="/A022316/b022316.txt">Table of n, a(n) for n = 0..1000</a>
%H A022316 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,-1).
%F A022316 From _R. J. Mathar_, Apr 07 2011: (Start)
%F A022316 G.f.: x*(11-10*x) / ( (1-x)*(1-x-x^2) ).
%F A022316 a(n) = A022102(n) - 1. (End)
%F A022316 a(n) = F(n+2) + 10*F(n) - 1, where F = A000045. - _G. C. Greubel_, Aug 25 2017
%t A022316 LinearRecurrence[{2,0,-1}, {0,11,12}, 50] (* _G. C. Greubel_, Aug 25 2017 *)
%o A022316 (PARI) x='x+O('x^50); concat([0], Vec(x*(11-10*x) / ( (1-x)*(1-x-x^2) ))) \\ _G. C. Greubel_, Aug 25 2017
%K A022316 nonn
%O A022316 0,2
%A A022316 _N. J. A. Sloane_