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.

A034800 Triangle of number of node labeled trees by number of nodes and number of labels.

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%I A034800 #15 Jul 08 2025 21:27:26
%S A034800 1,1,1,1,2,3,2,4,9,16,3,9,26,67,125,6,20,75,251,680,1296,11,48,214,
%T A034800 888,3135,8716,16807,23,115,612,3023,13155,47787,134960,262144,47,286,
%U A034800 1747,10038,51873,232154,858578,2450309,4782969,106,719,4995,32722,195821
%N A034800 Triangle of number of node labeled trees by number of nodes and number of labels.
%C A034800 Essentially the same as A034799, but omitting the last value from each row. - _Sean A. Irvine_, Sep 04 2020
%D A034800 J. Riordan, An Introduction to Combinatorial Analysis, p. 138.
%H A034800 <a href="/index/Tra#trees">Index entries for sequences related to trees</a>
%F A034800 Reference gives generating function.
%e A034800 Triangle begins:
%e A034800   1;
%e A034800   1, 1;
%e A034800   1, 2,  3;
%e A034800   2, 4,  9, 16;
%e A034800   3, 9, 26, 67, 125;
%e A034800   ...
%Y A034800 Cf. A034799.
%K A034800 nonn,tabl
%O A034800 1,5
%A A034800 _N. J. A. Sloane_
%E A034800 Offset 1 and more terms from _Sean A. Irvine_, Sep 04 2020