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 A171380 #5 Jan 25 2020 00:34:16
%S A171380 1,1,0,2,0,0,3,1,0,0,6,2,1,0,0,10,8,2,1,0,0,20,16,12,2,1,0,0,35,47,25,
%T A171380 17,2,1,0,0,70,94,97,36,23,2,1,0,0,126,244,204,179,49,30,2,1,0,0
%N A171380 Expansion of the first column of triangle T_(1,x), T(x,y) defined in A039599; T_(1,0)= A061554, T_(1,1)= A064189, T_(1,2)= A039599, T_(1,3)= A110877, T_(1,4)= A124576.
%C A171380 Diagonal sums: A089324.
%C A171380 Equal to A092107*B^(-1) = A092107*A130595 as lower triangular arrays. - _Philippe Deléham_, Dec 10 2009
%F A171380 Sum_{k=0..n} T(n,k)*x^k = A001405(n), A001006(n), A000108(n), A033321(n) for x = 0, 1, 2, 3 respectively.
%e A171380 Triangle begins:
%e A171380 1;
%e A171380 1, 0;
%e A171380 2, 0, 0;
%e A171380 3, 1, 0, 0;
%e A171380 6, 2, 1, 0, 0;
%e A171380 10, 8, 2, 1, 0, 0;
%e A171380 ...
%Y A171380 Cf. A000108, A001006, A001405, A033321, A089324.
%K A171380 nonn,tabl
%O A171380 0,4
%A A171380 _Philippe Deléham_, Dec 07 2009