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A210953 Triangle read by rows: T(n,k) = sum of all parts in the k-th column of the shell model of partitions considering only the n-th shell and with its parts aligned to the right margin. 5
1, 0, 3, 0, 0, 5, 0, 0, 2, 9, 0, 0, 0, 3, 12, 0, 0, 0, 2, 9, 20, 0, 0, 0, 0, 3, 11, 25, 0, 0, 0, 0, 2, 9, 22, 38, 0, 0, 0, 0, 0, 3, 14, 28, 49, 0, 0, 0, 0, 0, 2, 9, 26, 44, 69, 0, 0, 0, 0, 0, 0, 3, 14, 37, 55, 87, 0, 0, 0, 0, 0, 0, 2, 9, 29, 62, 83, 123 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..78.

EXAMPLE

For n = 6 and k = 1..6 the 6th shell looks like this:

-------------------------

k: 1,  2,  3,  4,  5,  6

-------------------------

.                      6

.                  3 + 3

.                  4 + 2

.              2 + 2 + 2

.                      1

.                      1

.                      1

.                      1

.                      1

.                      1

.                      1

.

The sums of all parts in columns 1-6 are

.  0,  0,  0,  2,  9, 20, the same as the 6th row of triangle.

Triangle begins:

1;

0, 3;

0, 0, 5;

0, 0, 2, 9;

0, 0, 0, 3, 12;

0, 0, 0, 2,  9, 20;

0, 0, 0, 0,  3, 11, 25;

0, 0, 0, 0,  2,  9, 22, 38;

0, 0, 0, 0,  0,  3, 14, 28, 49;

0, 0, 0, 0,  0,  2,  9, 26, 44, 69;

0, 0, 0, 0,  0,  0,  3, 14, 37, 55, 87;

0, 0, 0, 0,  0,  0,  2,  9, 29, 62, 83, 123;

CROSSREFS

Row sums give A138879. Column sums converge to A014153. Right border gives A046746, n >= 1.

Cf. A135010, A138121, A210950, A210951, A210952.

Sequence in context: A143044 A305151 A127775 * A254280 A092669 A255986

Adjacent sequences:  A210950 A210951 A210952 * A210954 A210955 A210956

KEYWORD

nonn,tabl

AUTHOR

Omar E. Pol, Apr 22 2012

STATUS

approved

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Last modified February 23 06:00 EST 2020. Contains 332159 sequences. (Running on oeis4.)