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.

A228763 a(n) = 2^L(n) - 1, where L(n) is the n-th Lucas number (A000032).

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%I A228763 #17 Sep 08 2022 08:46:05
%S A228763 3,1,7,15,127,2047,262143,536870911,140737488355327,
%T A228763 75557863725914323419135,10633823966279326983230456482242756607,
%U A228763 803469022129495137770981046170581301261101496891396417650687
%N A228763 a(n) = 2^L(n) - 1, where L(n) is the n-th Lucas number (A000032).
%F A228763 a(n) = a(n-1) + a(n-2) + a(n-1) * a(n-2) for n>1, a(0)=3, a(1)=1.
%t A228763 Table[2^LucasL[n] - 1, {n, 0, 15}] (* _Bruno Berselli_, Sep 03 2013 *)
%o A228763 (Magma) [2^Lucas(n)-1: n in [0..15]]; // _Bruno Berselli_, Sep 03 2013
%o A228763 (PARI) a(n)=2^(fibonacci(n-1)+fibonacci(n+1))-1 \\ _Charles R Greathouse IV_, Sep 03 2013
%Y A228763 Cf. A000032, A063896.
%K A228763 nonn
%O A228763 0,1
%A A228763 _Yeshwant Shivrai Valaulikar_, Sep 03 2013
%E A228763 More terms from _Bruno Berselli_, Sep 03 2013