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 A210960 #12 May 23 2012 17:37:15 %S A210960 1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,1,1,2,1,1,2,2,1,1,1,2,2,1, %T A210960 1,1,1,1,2,1,1,3,2,1,1,3,3,2,1,1,1,3,3,2,1,1,1,1,1,2,1,1,3,2,1,1,4,3, %U A210960 2,1,1,3,4,3,2,1,1,1,3,4,3,2,1,1 %N A210960 Tetrahedron T(j,n,k) in which the slice j is a finite triangle read by rows T(n,k) which list the number of parts in the columns of the shell model of partitions with n shells mentioned in A210970. %e A210960 -------------------------------------------------------- %e A210960 Illustration of first five %e A210960 slices of the tetrahedron Row sum %e A210960 -------------------------------------------------------- %e A210960 . 1, 1 %e A210960 . 1, 1 %e A210960 . 1, 1, 2 %e A210960 . 1, 1 %e A210960 . 1, 1, 2 %e A210960 . 1, 1, 1, 3 %e A210960 . 1, 1 %e A210960 . 1, 1, 2 %e A210960 . 2, 1, 1, 4 %e A210960 . 1, 2, 1, 1, 5 %e A210960 . 1, 1 %e A210960 . 1, 1, 2 %e A210960 . 2, 1, 1, 4 %e A210960 . 2, 2, 1, 1, 6 %e A210960 . 1, 2, 2, 1, 1, 7 %e A210960 -------------------------------------------------------- %e A210960 . 1, 2, 1, 3, 2, 1, 5, 4, 2, 1, 7, 6, 4, 2, 1, %e A210960 . %e A210960 It appears that column sums give A058399. %e A210960 Also, written as a triangle read by rows in which each row is a flattened triangle, begins: %e A210960 1; %e A210960 1,1,1, %e A210960 1,1,1,1,1,1; %e A210960 1,1,1,2,1,1,1,2,1,1; %e A210960 1,1,1,2,1,1,2,2,1,1,1,2,2,1,1; %e A210960 1,1,1,2,1,1,3,2,1,1,3,3,2,1,1,1,3,3,2,1,1; %e A210960 1,1,1,2,1,1,3,2,1,1,4,3,2,1,1,3,4,3,2,1,1,1,3,4,3,2,1,1; %e A210960 In which row sums give A006128. %Y A210960 Cf. A058399, A135010, A138121, A182703, A209655, A209918, A210763, A210961. %K A210960 nonn,tabf %O A210960 1,14 %A A210960 _Omar E. Pol_, Apr 22 2012