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.

A338294 Decimal expansion of the growth power of the number of matchings in the complete binary tree.

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%I A338294 #7 Aug 22 2021 13:25:47
%S A338294 1,5,3,7,1,7,6,7,1,7,1,8,2,3,5,7,9,4,9,5,9,0,1,4,0,3,2,8,9,5,5,2,2,1,
%T A338294 6,0,2,5,0,1,5,0,8,0,9,3,4,3,2,3,6,1,7,3,2,6,5,1,0,2,0,0,2,9,5,0,1,4,
%U A338294 0,0,8,8,2,7,0,8,8,8,1,1,2,4,3,5,3,2,9
%N A338294 Decimal expansion of the growth power of the number of matchings in the complete binary tree.
%C A338294 The number of matchings in the complete binary tree of n rows is A338293(n).  It grows as A338293(n) ~ (1/2)*C^(2^n) where C is the present constant.  See A338293 on how log(C) = A242049 follows from the number of matchings as a product of Jacobsthal numbers.
%H A338294 Kevin Ryde, <a href="http://user42.tuxfamily.org/pari-vpar/index.html">vpar</a> examples/complete-binary-matchings.gp calculations and code in PARI/GP.
%F A338294 Equals exp(A242049).
%F A338294 Equals lim_{n->oo} A338293(n)^(1/2^n).
%e A338294 1.537176717...
%Y A338294 Cf. A242049, A338293.
%K A338294 nonn,cons
%O A338294 1,2
%A A338294 _Kevin Ryde_, Oct 21 2020