A210961 Tetrahedron T(j,n,k) in which the slice j is a finite triangle read by rows T(n,k) which lists the sums of the columns of the shell model of partitions with n shells mentioned in A210970.
1, 1, 2, 1, 1, 2, 1, 3, 1, 1, 1, 2, 1, 5, 1, 1, 4, 3, 1, 1, 1, 2, 1, 5, 1, 1, 7, 3, 1, 1, 5, 3, 2, 1, 1, 1, 2, 1, 5, 1, 1, 9, 3, 1, 1, 12, 5, 2, 1, 1, 6, 6, 4, 2, 1, 1, 1, 2, 1, 5, 1, 1, 9, 3, 1, 1, 15, 5, 2, 1, 1, 15, 8, 4, 2, 1, 1, 7, 6, 5, 3, 2, 1, 1
Offset: 1
Examples
-------------------------------------------------------- Illustration of first five A210952 slices of the tetrahedron Row sum -------------------------------------------------------- . 1, 1 . 1, 1 . 2, 1, 3 . 1, 1 . 2, 1, 3 . 3, 1, 1, 5 . 1, 1 . 2, 1, 3 . 5, 1, 1, 7 . 4, 3, 1, 1, 9 . 1, 1 . 2, 1, 3 . 5, 1, 1, 7 . 7, 3, 1, 1, 12 . 5, 3, 2, 1, 1, 12 -------------------------------------------------------- . 1, 3, 1, 6, 2, 1,12, 5, 2, 1,20, 8, 4, 2, 1, . Column sums give A181187. Also, written as a triangle read by rows in which each row is a flattened triangle, begins: 1; 1,2,1; 1,2,1,3,1,1; 1,2,1,5,1,1,4,3,1,1; 1,2,1,5,1,1,7,3,1,1,5,3,2,1,1; 1,2,1,5,1,1,9,3,1,1,12,5,2,1,1,6,6,4,2,1,1; 1,2,1,5,1,1,9,3,1,1,15,5,2,1,1,15,8,4,2,1,1,7,6,5,3,2,1,1; In which row sums give A066186.