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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. 5
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
Mikhail Kurkov, PARI program. [verification needed]
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.
Sequence in context: A241019 A023581 A023574 * A193827 A131340 A337121
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Apr 18 2012
STATUS
approved

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Last modified August 30 17:11 EDT 2024. Contains 375545 sequences. (Running on oeis4.)