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A144529 Triangle read by rows: T(n,k) = number of edges in graph whose vertices are forests with n unlabeled nodes and degree <= k and in which two vertices are joined by an edge if the forests differ (up to isomorphism) by exactly one edge. 2

%I #9 Feb 04 2023 20:58:13

%S 0,0,1,0,1,2,0,2,5,6,0,2,9,13,14,0,3,18,32,36,37,0,3,28,67,82,87,88

%N Triangle read by rows: T(n,k) = number of edges in graph whose vertices are forests with n unlabeled nodes and degree <= k and in which two vertices are joined by an edge if the forests differ (up to isomorphism) by exactly one edge.

%C The number of nodes in this graph is given by A144215.

%H Rebecca Neville, <a href="https://web.archive.org/web/20191029092609/http://gtn.kazlow.info:80/GTN54.pdf">Graphs whose vertices are forests with bounded degree</a>, Graph Theory Notes of New York, LIV (2008), 12-21. [Wayback Machine link]

%e Triangle begins:

%e 0

%e 0 1

%e 0 1 2

%e 0 2 5 6

%e 0 2 9 13 14

%e 0 3 18 32 36 37

%e 0 3 28 67 82 87 88

%Y Cf. A144530.

%K nonn,tabl,more

%O 1,6

%A _N. J. A. Sloane_, Dec 20 2008

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Last modified April 25 07:07 EDT 2024. Contains 371964 sequences. (Running on oeis4.)