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A210943 Square array read by antidiagonals in which row n lists the parts of the infinite n-th zone of the shell model of partitions, in nonincreasing order. 2
1, 2, 1, 3, 1, 1, 2, 1, 1, 1, 4, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 5, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 4, 2, 1, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 6, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 2, 1, 1, 1, 1, 1, 1 (list; table; 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 the n-th row of triangle A210941 together with infinitely many parts of size 1.

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

Array begins:

1, 1, 1, 1, 1, 1, 1, 1, 1, 1,...

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

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

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

4, 1, 1, 1, 1, 1, 1, 1, 1, 1,...

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

5, 1, 1, 1, 1, 1, 1, 1, 1, 1,...

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

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

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

6, 1, 1, 1, 1, 1, 1, 1, 1, 1,...

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

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

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

7, 1, 1, 1, 1, 1, 1, 1, 1, 1,...

CROSSREFS

Column 1 is A141285.

Cf. A135010, A138121, A182742, A182743, A210941, A210942.

Sequence in context: A193870 A058564 A226006 * A260869 A260870 A282497

Adjacent sequences:  A210940 A210941 A210942 * A210944 A210945 A210946

KEYWORD

nonn,tabl

AUTHOR

Omar E. Pol, Apr 19 2012

STATUS

approved

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Last modified May 26 17:38 EDT 2019. Contains 323597 sequences. (Running on oeis4.)