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 A205946 #12 Jul 22 2025 19:08:20 %S A205946 1,1,1,1,4,1,1,12,6,1,1,33,27,8,1,1,88,108,44,10,1,1,232,405,208,65, %T A205946 12,1,1,609,1459,908,350,90,14,1 %N A205946 Triangle read by rows related to A000984, central binomial coefficients. %F A205946 T(n,k) = A191314(2*n,k). %F A205946 Take finite differences of even numbered columns of the A205573 array from the top -> down. %e A205946 First few rows of the triangle = %e A205946 1; %e A205946 1, 1; %e A205946 1, 4, 1; %e A205946 1, 12, 6, 1; %e A205946 1, 33, 27, 8, 1; %e A205946 1, 88, 108, 44, 10, 1; %e A205946 1, 232, 405, 208, 65, 12, 1; %e A205946 1, 609, 1459, 908, 350, 90, 14, 1; %e A205946 ... %e A205946 Row 2 = (1, 4, 1) = row 4 of triangle A191314. %e A205946 Row 3 = (1, 12, 6, 1) = finite differences of column 6 of the array shown in A205573: (1, 13, 19, 20) %Y A205946 Cf. A000984 (row sums), A001405, A191314, A205573, A205945 (companion). %K A205946 nonn,tabl %O A205946 0,5 %A A205946 _Gary W. Adamson_, Feb 01 2012