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.

A242952 Number of connected graphs on n vertices whose spectrum has n distinct eigenvalues.

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%I A242952 #23 Feb 16 2025 08:33:22
%S A242952 1,1,1,3,11,54,539,7319,209471,10000304
%N A242952 Number of connected graphs on n vertices whose spectrum has n distinct eigenvalues.
%C A242952 The spectrum refers to the eigenvalues of the adjacency matrix.
%H A242952 Travis Hoppe and Anna Petrone, <a href="https://github.com/thoppe/Encyclopedia-of-Finite-Graphs">Encyclopedia of Finite Graphs</a>
%H A242952 Travis Hoppe and Anna Petrone, <a href="http://arxiv.org/abs/1408.3644">Integer sequence discovery from small graphs</a>, arXiv preprint arXiv:1408.3644 [math.CO], 2014.
%H A242952 Haiying Shan and Xiaoqi Liu, <a href="https://arxiv.org/abs/2412.18759">Exploring Graphs with Distinct M-Eigenvalues: Product Operation, Wronskian Vertices, and Controllability</a>, arXiv:2412.18759 [math.CO], 2024. See pp. 14-15.
%H A242952 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GraphSpectrum.html">Graph Spectrum</a>
%Y A242952 Cf. A064731 (integral graphs), A242953 (non-distinct spectrum graphs).
%K A242952 nonn,more
%O A242952 1,4
%A A242952 _Travis Hoppe_ and _Anna Petrone_, May 27 2014
%E A242952 Corrected, original description as the "real spectrum" was incorrect, by _Travis Hoppe_, Mar 23 2015