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.

A370772 Triangle read by rows: T(n,k) is the number of k-trees with n unlabeled nodes rooted at a hedron.

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%I A370772 #8 Mar 02 2024 03:16:58
%S A370772 0,1,0,1,1,0,1,1,1,0,1,3,1,1,0,1,6,3,1,1,0,1,16,10,3,1,1,0,1,37,39,10,
%T A370772 3,1,1,0,1,96,164,48,10,3,1,1,0,1,239,746,253,48,10,3,1,1,0,1,622,
%U A370772 3474,1584,273,48,10,3,1,1,0,1,1607,16658,10500,1913,273,48,10,3,1,1,0
%N A370772 Triangle read by rows: T(n,k) is the number of k-trees with n unlabeled nodes rooted at a hedron.
%C A370772 A hedron is a (k+1)-clique.
%H A370772 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 A370772 Triangle begins:
%e A370772   0;
%e A370772   1,   0;
%e A370772   1,   1,    0;
%e A370772   1,   1,    1,    0;
%e A370772   1,   3,    1,    1,   0;
%e A370772   1,   6,    3,    1,   1,  0;
%e A370772   1,  16,   10,    3,   1,  1,  0;
%e A370772   1,  37,   39,   10,   3,  1,  1, 0;
%e A370772   1,  96,  164,   48,  10,  3,  1, 1, 0;
%e A370772   1, 239,  746,  253,  48, 10,  3, 1, 1, 0;
%e A370772   1, 622, 3474, 1584, 273, 48, 10, 3, 1, 1, 0;
%e A370772   ...
%Y A370772 Columns k=1..2 are A027852, A063688(n-2).
%Y A370772 Cf. A370770 (unrooted), A370771, A370773.
%K A370772 nonn,tabl
%O A370772 0,12
%A A370772 _Andrew Howroyd_, Mar 01 2024