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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. 4
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 (list; graph; refs; listen; history; text; internal format)
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: A319093 A228726 A165357 * A250007 A048996 A111786

Adjacent sequences:  A210958 A210959 A210960 * A210962 A210963 A210964

KEYWORD

nonn,tabf

AUTHOR

Omar E. Pol, Apr 22 2012

STATUS

approved

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Last modified November 11 22:31 EST 2019. Contains 329046 sequences. (Running on oeis4.)