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A182710 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 A182710 #16 Mar 11 2014 01:34:17
%S A182710 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 A182710 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 A182710 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 A182710 These are the parts located in the "head" of the last section.
%C A182710 For other versions see A138136 and A182711.
%H A182710 Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polpa3dt.jpg">Illustration of the shell model of partitions (3D view)</a>
%H A182710 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 A182710 Triangle begins:
%e A182710 0,
%e A182710 2,
%e A182710 3,
%e A182710 4,2,2,
%e A182710 5,3,2,
%e A182710 6,3,3,4,2,2,2,2,
%e A182710 7,4,3,5,2,3,2,2,
%e A182710 8,4,4,5,3,6,2,3,3,2,4,2,2,2,2,2,2,
%e A182710 9,5,4,6,3,3,3,3,7,2,4,3,2,5,2,2,3,2,2,2
%Y A182710 Cf. A135010, A138121, A138136, A182711.
%K A182710 nonn,tabf
%O A182710 1,2
%A A182710 _Omar E. Pol_, Nov 28 2010