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

1,3

Links

Table of n, a(n) for n=1..84.

Example

--------------------------------------------------------
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.

Crossrefs

Cf. A066186, A135010, A138121, A181187, A210952, A210960, A210970.

Sequence in context: A165357 A346741 A358105 * A250007 A048996 A111786

Adjacent sequences: A210958 A210959 A210960 * A210962 A210963 A210964

Keyword

nonn,tabf

Author

Omar E. Pol, Apr 22 2012

Status

approved