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.

A273397 a(n) = Fibonacci(Catalan(n)).

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%I A273397 #21 Jan 21 2017 19:01:45
%S A273397 1,1,1,5,377,267914296,1725375039079340637797070384,
%T A273397 202401005213503038261932567177107618332887918916819829782797456368284639448671475316218754
%N A273397 a(n) = Fibonacci(Catalan(n)).
%C A273397 Next term, a(8), which has 299 digits, is too large to include. Counterpart to A273398.
%C A273397 The number of digits of a(n) grows faster than Fibonacci(n), in contrast to A273398, and faster than Catalan(n-2), but slower than Catalan(n-1) or Catalan(n).
%H A273397 Alois P. Heinz, <a href="/A273397/b273397.txt">Table of n, a(n) for n = 0..8</a>
%F A273397 a(n) = A000045(A000108(n)).
%e A273397 For n = 3, a(3) = Fibonacci(Catalan(3)) = Fibonacci(5) = 5.
%p A273397 a:= n-> (<<0|1>, <1|1>>^(binomial(2*n, n)/(n+1)))[1, 2]:
%p A273397 seq(a(n), n=0..8);  # _Alois P. Heinz_, Jan 20 2017
%t A273397 Fibonacci[CatalanNumber[Range[0, 7]]]
%o A273397 (PARI) for(n=0,7, cn=binomial(2*n, n)/(n+1); print1(fibonacci(cn) ","))
%Y A273397 Cf. A000045 (Fibonacci), A000108(Catalan), A263986, A273398 (related sequences with Fibonacci and Catalan numbers), A281450.
%K A273397 nonn,easy
%O A273397 0,4
%A A273397 _Waldemar Puszkarz_, May 21 2016