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.
%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