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A210951 Triangle read by rows: T(n,k) = number of 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. 3
1, 0, 2, 0, 0, 3, 0, 0, 1, 5, 0, 0, 0, 1, 7, 0, 0, 0, 1, 3, 11, 0, 0, 0, 0, 1, 3, 15, 0, 0, 0, 0, 1, 3, 6, 22, 0, 0, 0, 0, 0, 1, 4, 7, 30, 0, 0, 0, 0, 0, 1, 3, 7, 11, 42, 0, 0, 0, 0, 0, 0, 1, 4, 9, 13, 56, 0, 0, 0, 0, 0, 0, 1, 3, 8, 15, 20, 77, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..81.

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 total number of parts in columns 1-6 are

.  0,  0,  0,  1,  3, 11, the same as the 6th row of triangle.

Triangle begins:

1;

0, 2;

0, 0, 3;

0, 0, 1, 5;

0, 0, 0, 1, 7;

0, 0, 0, 1, 3, 11;

0, 0, 0, 0, 1, 3, 15;

0, 0, 0, 0, 1, 3, 6, 22;

0, 0, 0, 0, 0, 1, 4, 7, 30;

0, 0, 0, 0, 0, 1, 3, 7, 11, 42;

0, 0, 0, 0, 0, 0, 1, 4, 9, 13, 56;

0, 0, 0, 0, 0, 0, 1, 3, 8, 15, 20, 77;

CROSSREFS

Row sums give A138137. Column sums converge to A000070. Right border gives A000041, n >= 1.

Cf. A135010, A138121, A194714, A210945, A210950, A210952, A210953.

Sequence in context: A259480 A280164 A049597 * A233440 A280728 A175676

Adjacent sequences:  A210948 A210949 A210950 * A210952 A210953 A210954

KEYWORD

nonn,tabl

AUTHOR

Omar E. Pol, Apr 22 2012

STATUS

approved

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Last modified February 20 14:03 EST 2020. Contains 332078 sequences. (Running on oeis4.)