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A052442 Number of simple unlabeled n-node graphs of connectivity 1. 11

%I #41 Jan 19 2021 20:17:56

%S 0,1,1,3,11,56,385,3994,67014,1973029,105731474,10439496931,

%T 1902968718515,641662974453892,401490336727861176,

%U 467924684115578671326,1019752390010650509117288,4171131179469162937375841939,32134378048921787829834095722663,467778894124037894839737804918978194

%N Number of simple unlabeled n-node graphs of connectivity 1.

%H Jean-François Alcover, <a href="/A052442/b052442.txt">Table of n, a(n) for n = 1..26</a>

%H Jens M. Schmidt, <a href="/A324088/a324088.html">Data files in graph6 format</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/k-ConnectedGraph.html">k-Connected Graph.</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BiconnectedGraph.html">Biconnected Graph</a>

%F a(n) = A001349(n) - A002218(n) for n > 2. - _Andrew Howroyd_, Sep 04 2019

%t A001349 = Cases[Import["https://oeis.org/A001349/b001349.txt", "Table"], {_, _}][[All, 2]];

%t A002218 = Cases[Import["https://oeis.org/A002218/b002218.txt", "Table"], {_, _}][[All, 2]];

%t a[1] = 0; a[2] = 1;

%t a[n_] := A001349[[n+1]] - A002218[[n]];

%t Array[a, 26] (* _Jean-François Alcover_, Sep 10 2019, after _Andrew Howroyd_ *)

%Y Column k=1 of A259862.

%Y Cf. A000719, A052443, A052444, A052445.

%K nonn

%O 1,4

%A _Eric W. Weisstein_

%E Terms a(8)-a(11) by _Jens M. Schmidt_, Feb 18 2019

%E a(1)-a(2) corrected by _Andrew Howroyd_, Aug 28 2019

%E a(12)-a(20) from _Andrew Howroyd_, Sep 04 2019

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Last modified April 27 23:22 EDT 2024. Contains 372020 sequences. (Running on oeis4.)