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 A106396 #25 Sep 02 2024 00:20:06 %S A106396 1,1,1,1,2,1,1,4,2,1,1,7,5,2,1,1,11,13,5,2,1,1,16,31,14,5,2,1,1,22,66, %T A106396 41,14,5,2,1,1,29,127,116,42,14,5,2,1,1,37,225,302,131,42,14,5,2,1,1, %U A106396 46,373,715,407,132,42,14,5,2,1,1,56,586,1549,1205,428,132,42,14,5,2,1 %N A106396 Triangle read by rows, generated from the Narayana triangle as a matrix. %C A106396 The n-th column starting from the top has the first n terms in the Catalan sequence: (1, 2, 5, 14, ...) %F A106396 n-th column (offset) is generated by P * V; P = the Narayana triangle as an infinite lower triangular matrix, V = vector for n-th column comprising n leading 1's and the rest zeros (e.g., V for 3rd column = [1, 1, 1, 0, 0, 0, ...]). %e A106396 Col. 2 offset = 1, 2, 4, 7, 11, 16, 22, ... since P * [1, 1, 0, 0, 0, ...] = 1, 2, 4, 7, 11, ... %e A106396 First few rows of the triangle are: %e A106396 1; %e A106396 1, 1; %e A106396 1, 2, 1; %e A106396 1, 4, 2, 1; %e A106396 1, 7, 5, 2, 1; %e A106396 1, 11, 13, 5, 2, 1; %e A106396 1, 16, 31, 14, 5, 2, 1; %e A106396 ... %e A106396 Second column = A000124. %Y A106396 Cf. A000108, A000124, A001263, A137940. %K A106396 nonn,tabl %O A106396 1,5 %A A106396 _Gary W. Adamson_, May 01 2005 %E A106396 More terms from _Alois P. Heinz_, Nov 28 2021