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.
%I A022345 #26 Sep 08 2022 08:44:46 %S A022345 0,11,11,22,33,55,88,143,231,374,605,979,1584,2563,4147,6710,10857, %T A022345 17567,28424,45991,74415,120406,194821,315227,510048,825275,1335323, %U A022345 2160598,3495921,5656519,9152440,14808959,23961399,38770358,62731757,101502115,164233872 %N A022345 Fibonacci sequence beginning 0, 11. %D A022345 A. T. Benjamin and J. J. Quinn, Proofs that really count: the art of combinatorial proof, M.A.A. 2003, p. 15. %H A022345 G. C. Greubel, <a href="/A022345/b022345.txt">Table of n, a(n) for n = 0..1000</a> %H A022345 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a> %H A022345 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (1, 1). %F A022345 a(n) = 11*F(n) = F(n+4) + F(n+2) + F(n) + F(n-2) + F(n-4) with n > 3 and F = A000045. %F A022345 G.f.: 11*x/(1-x-x^2). - _Philippe Deléham_, Nov 20 2008 %F A022345 a(n) = Fibonacci(n+5) - Fibonacci(n-5), where Fibonacci(-5..-1) = 5, -3, 2, -1, 1. - _Bruno Berselli_, May 22 2015 %t A022345 Table[11 Fibonacci(n), {n, 0, 40}] (* _Bruno Berselli_, May 22 2015 *) %o A022345 (Magma) [11*Fibonacci(n): n in [0..40]]; // _Bruno Berselli_, May 22 2015 %o A022345 (PARI) x='x+O('x^50); concat([0], Vec(11*x/(1-x-x^2))) \\ _G. C. Greubel_, Aug 25 2017 %Y A022345 Cf. A000045. %Y A022345 Cf. similar sequences listed in A258160. %K A022345 nonn,easy %O A022345 0,2 %A A022345 _N. J. A. Sloane_ %E A022345 More terms from _Bruno Berselli_, May 22 2015