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 A098505 #10 Aug 30 2024 16:33:06
%S A098505 1,1,1,1,1,1,1,3,3,1,1,2,3,2,1,1,5,5,5,5,1,1,1,5,5,5,1,1,1,7,7,35,35,
%T A098505 7,7,1,1,4,14,28,7,28,14,4,1,1,9,18,42,63,63,42,18,9,1,1,5,45,30,105,
%U A098505 63,105,30,45,5,1,1,11,55,165,165,33,33,165,165,55,11,1,1,3,33,55,495,198
%N A098505 Numerators in inverse of a Catalan scaled binomial matrix.
%C A098505 Row sums are A098506. Diagonal sums are A098507. Second column is A093527. Third column is A098508. Numerators in the inverse of the signed version of A098474, defined by T(n,k)=(-1)^(n-k)binomial(2k,k)binomial(n,k)/(k+1)
%H A098505 Paolo Xausa, <a href="/A098505/b098505.txt">Table of n, a(n) for n = 0..11475</a> (rows 0..150 of triangle, flattened).
%F A098505 T(n, k) = numerator((n+1)*binomial(n, k)/binomial(2n, n)).
%e A098505 Rows begin:
%e A098505 1;
%e A098505 1,1;
%e A098505 1,1,1;
%e A098505 1,3,3,1;
%e A098505 1,2,3,2,1;
%e A098505 1,5,5,5,5,1;
%e A098505 ...
%t A098505 Table[Numerator[(n + 1)*Binomial[n, k]/Binomial[2*n, n]], {n, 0, 15}, {k, 0, n}] (* _Paolo Xausa_, Aug 30 2024 *)
%Y A098505 Cf. A098474, A098506, A098507, A098508, A093527.
%K A098505 easy,nonn,tabl
%O A098505 0,8
%A A098505 _Paul Barry_, Sep 11 2004