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.

A193491 Irregular triangle read by rows: row n gives numbers of rooted trees with n nodes (n >= 1) and omega-valency k (k >= 1).

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%I A193491 #14 Feb 17 2018 21:12:39
%S A193491 1,1,2,3,1,7,1,1,13,5,1,1,31,9,6,1,1,66,29,11,7,1,1,159,62,42,13,8,1,
%T A193491 1,365,181,92,55,15,9,1,1,900,422,294,127,70,17,10,1,1,2162,1166,720,
%U A193491 435,165,86,19,11,1,1,5417,2885,2119,1110,608,208,104,21,12,1,1
%N A193491 Irregular triangle read by rows: row n gives numbers of rooted trees with n nodes (n >= 1) and omega-valency k (k >= 1).
%C A193491 See A003120 for definitions.
%H A193491 J.-C. Arditti, <a href="http://dx.doi.org/10.1016/0012-365X(73)90135-0">Dénombrement des arborescences dont le graphe de comparabilité est Hamiltonien</a>, Discrete Math., 5 (1973), 189-200.
%e A193491 Triangle begins:
%e A193491      1
%e A193491      1
%e A193491      2
%e A193491      3,    1
%e A193491      7,    1,    1
%e A193491     13,    5,    1,    1
%e A193491     31,    9,    6,    1,   1
%e A193491     66,   29,   11,    7,   1,   1
%e A193491    159,   62,   42,   13,   8,   1,   1
%e A193491    365,  181,   92,   55,  15,   9,   1,  1
%e A193491    900,  422,  294,  127,  70,  17,  10,  1,  1
%e A193491   2162, 1166,  720,  435, 165,  86,  19, 11,  1, 1
%e A193491   5417, 2885, 2119, 1110, 608, 208, 104, 21, 12, 1, 1
%e A193491   ...
%Y A193491 Columns give A003120, A193487, A193488, A193489, A193490. Row sums give A000081.
%K A193491 nonn,tabf
%O A193491 1,3
%A A193491 _N. J. A. Sloane_, Jul 27 2011