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Triangle read by rows in which row n lists the parts >= 2 of the last section of the set of partitions of n, in the order produced by the shell model of partitions of A138121, with a(1)=0.
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%I #16 Mar 11 2014 01:34:17

%S 0,2,3,4,2,2,5,3,2,6,3,3,4,2,2,2,2,7,4,3,5,2,3,2,2,8,4,4,5,3,6,2,3,3,

%T 2,4,2,2,2,2,2,2,9,5,4,6,3,3,3,3,7,2,4,3,2,5,2,2,3,2,2,2

%N Triangle read by rows in which row n lists the parts >= 2 of the last section of the set of partitions of n, in the order produced by the shell model of partitions of A138121, with a(1)=0.

%C These are the parts located in the "head" of the last section.

%C For other versions see A138136 and A182711.

%H Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polpa3dt.jpg">Illustration of the shell model of partitions (3D view)</a>

%H Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polpanxt.jpg">Illustration. How to build the last section of the set of partitions of n: copy, paste and fill.</a>

%e Triangle begins:

%e 0,

%e 2,

%e 3,

%e 4,2,2,

%e 5,3,2,

%e 6,3,3,4,2,2,2,2,

%e 7,4,3,5,2,3,2,2,

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

%e 9,5,4,6,3,3,3,3,7,2,4,3,2,5,2,2,3,2,2,2

%Y Cf. A135010, A138121, A138136, A182711.

%K nonn,tabf

%O 1,2

%A _Omar E. Pol_, Nov 28 2010