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.

A370771 Triangle read by rows: T(n,k) is the number of k-trees with n unlabeled nodes rooted at a front.

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%I A370771 #8 Mar 02 2024 03:16:21
%S A370771 1,1,1,1,1,1,1,2,1,1,1,4,2,1,1,1,9,6,2,1,1,1,20,21,6,2,1,1,1,48,83,25,
%T A370771 6,2,1,1,1,115,356,126,25,6,2,1,1,1,286,1599,745,135,25,6,2,1,1,1,719,
%U A370771 7434,4784,895,135,25,6,2,1,1,1,1842,35381,32372,6846,915,135,25,6,2,1,1
%N A370771 Triangle read by rows: T(n,k) is the number of k-trees with n unlabeled nodes rooted at a front.
%C A370771 A front is a k-clique.
%H A370771 Andrew Gainer-Dewar, <a href="https://doi.org/10.37236/2615">Gamma-Species and the Enumeration of k-Trees</a>, Electronic Journal of Combinatorics, Volume 19 (2012), #P45.
%e A370771 Triangle begins:
%e A370771   1;
%e A370771   1,   1;
%e A370771   1,   1,    1;
%e A370771   1,   2,    1,    1;
%e A370771   1,   4,    2,    1,   1;
%e A370771   1,   9,    6,    2,   1,   1;
%e A370771   1,  20,   21,    6,   2,   1,  1;
%e A370771   1,  48,   83,   25,   6,   2,  1, 1;
%e A370771   1, 115,  356,  126,  25,   6,  2, 1, 1;
%e A370771   1, 286, 1599,  745, 135,  25,  6, 2, 1, 1;
%e A370771   1, 719, 7434, 4784, 895, 135, 25, 6, 2, 1, 1;
%e A370771   ...
%Y A370771 Columns k=0..2 are A000012, A000081, A058866.
%Y A370771 Cf. A370770 (unrooted), A370772, A370773.
%K A370771 nonn,tabl
%O A370771 0,8
%A A370771 _Andrew Howroyd_, Mar 01 2024