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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

%I

%S 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,

%T 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,

%U 2,2,2,3,3,2,2,6,2,2,5,3,2,4,4,2,8,2

%N 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.

%C 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).

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

%H Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polpa308.jpg">Illustration of the partitions and regions of n, for n = 1..12</a>

%e Triangle First 15 zones of the

%e begins shell model of partitions

%e --------------------------------------------------

%e 1; 1 1 1 1 1 1 1 1 1 1 1...

%e 2; . 2 1 1 1 1 1 1 1 1 1...

%e 3; . . 3 1 1 1 1 1 1 1 1...

%e 2, 2; . 2 . 2 1 1 1 1 1 1 1...

%e 4; . . . 4 1 1 1 1 1 1 1...

%e 3, 2; . . 3 . 2 1 1 1 1 1 1...

%e 5; . . . . 5 1 1 1 1 1 1...

%e 2, 2, 2; . 2 . 2 . 2 1 1 1 1 1...

%e 4, 2; . . . 4 . 2 1 1 1 1 1...

%e 3, 3; . . 3 . . 3 1 1 1 1 1...

%e 6; . . . . . 6 1 1 1 1 1...

%e 3, 2, 2; . . 3 . 2 . 2 1 1 1 1...

%e 5, 2; . . . . 5 . 2 1 1 1 1...

%e 4, 3; . . . 4 . . 3 1 1 1 1...

%e 7; . . . . . . 7 1 1 1 1...

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

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

%K nonn,tabf

%O 1,2

%A _Omar E. Pol_, Apr 18 2012

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Last modified August 7 17:44 EDT 2020. Contains 336278 sequences. (Running on oeis4.)