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.

A130132 Number of trees on n vertices which are not lobsters.

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%I A130132 #27 Feb 16 2025 08:33:06
%S A130132 0,0,0,0,0,0,0,0,0,1,4,19,77,287,1002,3365,10853,34088,104574,315116,
%T A130132 935321,2743374,7966723,22951010,65681536,186961873,529845497,
%U A130132 1496245171,4213181063,11836671278,33195092417,92966480736
%N A130132 Number of trees on n vertices which are not lobsters.
%C A130132 Also the number of nonlinear trees on n nodes. - _Andrew Howroyd_, Dec 17 2020
%H A130132 Andrew Howroyd, <a href="/A130132/b130132.txt">Table of n, a(n) for n = 1..200</a>
%H A130132 Tanay Wakhare, Eric Wityk, and Charles R. Johnson, <a href="https://doi.org/10.1016/j.disc.2020.112008">The proportion of trees that are linear</a>, Discrete Mathematics, 343.10 (2020): 112008. Also on <a href="https://arxiv.org/abs/1901.08502">arXiv</a>, arXiv:1901.08502 [math.CO], 2019-2020. See Tables 1 and 2 (but beware errors).
%H A130132 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/LobsterGraph.html">Lobster Graph</a>
%F A130132 a(n) = A000055(n) - A130131(n). - _Andrew Howroyd_, Nov 02 2017
%Y A130132 Cf. A000055, A130131, A331693.
%K A130132 nonn
%O A130132 1,11
%A A130132 _Eric W. Weisstein_, May 11 2007
%E A130132 a(15)-a(32) from _Washington Bomfim_, Feb 23 2011