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A210941 Triangle read by rows in which row n lists the parts > 1 of the n-th zone of the shell model of partitions, with a(1) = 1. 4
1, 2, 3, 2, 2, 4, 3, 2, 5, 2, 2, 2, 4, 2, 3, 3, 6, 3, 2, 2, 5, 2, 4, 3, 7, 2, 2, 2, 2, 4, 2, 2, 3, 3, 2, 6, 2, 5, 3, 4, 4, 8, 3, 2, 2, 2, 5, 2, 2, 4, 3, 2, 7, 2, 3, 3, 3, 6, 3, 5, 4, 9, 2, 2, 2, 2, 2, 4, 2, 2, 2, 3, 3, 2, 2, 6, 2, 2, 5, 3, 2, 4, 4, 2, 8, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The n-th zone of the shell model of partitions is formed by the parts of row n followed by infinitely many parts of size 1 (see example and also A210943).

Row n lists the largest part and the parts > 1 of the n-th zone of the model.

LINKS

Table of n, a(n) for n=1..86.

Omar E. Pol, Illustration of the partitions and regions of n, for n = 1..12

EXAMPLE

Triangle                First 15 zones of the

begins                  shell model of partitions

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

1;                      1 1 1 1 1 1 1 1 1 1 1...

2;                      . 2 1 1 1 1 1 1 1 1 1...

3;                      . . 3 1 1 1 1 1 1 1 1...

2, 2;                   . 2 . 2 1 1 1 1 1 1 1...

4;                      . . . 4 1 1 1 1 1 1 1...

3, 2;                   . . 3 . 2 1 1 1 1 1 1...

5;                      . . . . 5 1 1 1 1 1 1...

2, 2, 2;                . 2 . 2 . 2 1 1 1 1 1...

4, 2;                   . . . 4 . 2 1 1 1 1 1...

3, 3;                   . . 3 . . 3 1 1 1 1 1...

6;                      . . . . . 6 1 1 1 1 1...

3, 2, 2;                . . 3 . 2 . 2 1 1 1 1...

5, 2;                   . . . . 5 . 2 1 1 1 1...

4, 3;                   . . . 4 . . 3 1 1 1 1...

7;                      . . . . . . 7 1 1 1 1...

CROSSREFS

Column 1 is A141285. Row n has length A194548(n), n > 1.

Cf. A135010, A138121, A182703, A194711, A206437, A210942, A210943.

Sequence in context: A241019 A023581 A023574 * A193827 A131340 A175470

Adjacent sequences:  A210938 A210939 A210940 * A210942 A210943 A210944

KEYWORD

nonn,tabf

AUTHOR

Omar E. Pol, Apr 18 2012

STATUS

approved

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Last modified May 23 11:01 EDT 2019. Contains 323513 sequences. (Running on oeis4.)