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 A067802 #10 Jun 01 2025 23:55:54 %S A067802 1,3,1,20,15,1,175,189,35,1,1764,2352,720,63,1,19404,29700,12375,1925, %T A067802 99,1,226512,382239,196625,44044,4212,143,1,2760615,5010005,3006003, %U A067802 869505,124215,8085,195,1,34763300,66745536,45048640,15767024,2998800,299200,14144,255,1 %N A067802 Triangle read by rows: T(n, k) = binomial(2*n+1, n-k)^2*(2*k+1)/(2*n+1). %F A067802 T(n, k) = A034869(2n+1, k) * A039599(n, k). %e A067802 Triangle starts: %e A067802 [0] 1 %e A067802 [1] 3, 1 %e A067802 [2] 20, 15, 1 %e A067802 [3] 175, 189, 35, 1 %e A067802 [4] 1764, 2352, 720, 63, 1 %e A067802 [5] 19404, 29700, 12375, 1925, 99, 1 %e A067802 [6] 226512, 382239, 196625, 44044, 4212, 143, 1 %p A067802 T := (n, k) -> binomial(2*n+1, n-k)^2*(2*k+1)/(2*n+1): %p A067802 seq(seq(T(n, k), k = 0..n), n = 0..8); # _Peter Luschny_, Dec 07 2024 %Y A067802 First column is A000891. %Y A067802 Cf. A034869, A039599, A002894 (row sums). %K A067802 nonn,tabl %O A067802 0,2 %A A067802 _Henry Bottomley_, Feb 07 2002