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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.

A271205 Number T(m,n) of series-reduced free trees with n nodes of which exactly m >= 3 are leaves, m+1 <= n <= 2m-2.

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%I A271205 #39 Dec 18 2016 01:22:41
%S A271205 1,1,1,1,1,1,1,2,2,2,1,2,4,4,2,1,3,6,10,8,4,1,3,9,17,22,15,6,1,4,12,
%T A271205 30,47,53,32,11,1,4,16,44,91,127,121,66,18,1,5,20,67,158,282,346,292,
%U A271205 142,37,1,5,25,91,258,539,841,921,688,306,66,1,6,30,126,397,978,1804,2498,2456,1662,672,135,1,6,36,163,588,1636,3550,5856,7260,6489,3978,1483,265,1,7,42,213,838,2638,6495,12554,18636,20946,17082,9629,3316,552,1,8
%N A271205 Number T(m,n) of series-reduced free trees with n nodes of which exactly m >= 3 are leaves, m+1 <= n <= 2m-2.
%C A271205 The sequence of row sums a(m) = Sum_{n} T(m,n) is A007827.
%C A271205 The sequence of column sums a(n) = Sum_{m} T(m,n) is A000014.
%H A271205 Stephan Beyer, <a href="https://gist.github.com/sbeyer/bb2731d4113d3da62dd8b44c262e9fc1">Python code to generate the sequence on GitHub Gist</a>
%e A271205 m\n | 3 4 5 6 7 8 9 10 11 12 13 14 15 16  17  18 19 20
%e A271205 -------------------------------------------------------
%e A271205 3   | . 1 . . . . .  .  .  .  .  .  .  .   .   .  .  .
%e A271205 4   | . . 1 1 . . .  .  .  .  .  .  .  .   .   .  .  .
%e A271205 5   | . . . 1 1 1 .  .  .  .  .  .  .  .   .   .  .  .
%e A271205 6   | . . . . 1 2 2  2  .  .  .  .  .  .   .   .  .  .
%e A271205 7   | . . . . . 1 2  4  4  2  .  .  .  .   .   .  .  .
%e A271205 8   | . . . . . . 1  3  6 10  8  4  .  .   .   .  .  .
%e A271205 9   | . . . . . . .  1  3  9 17 22 15  6   .   .  .  .
%e A271205 10  | . . . . . . .  .  1  4 12 30 47 53  32  11  .  .
%e A271205 11  | . . . . . . .  .  .  1  4 16 44 91 127 121 66 18
%Y A271205 Cf. A000014, A007827.
%Y A271205 Transpose of A271362.
%K A271205 nonn,tabf
%O A271205 3,8
%A A271205 _Stephan Beyer_, Apr 01 2016