%I #27 Mar 11 2014 01:34:20
%S 1,2,3,2,4,2,3,5,2,2,4,2,3,6,3,2,2,3,5,2,4,7,3,2,2,2,4,2,3,6,3,2,2,5,
%T 4,8,4,3,2,2,2,2,3,5,2,4,7,3,2,2,3,6,3,5,9,4,3,3,2,2,2,2,2,4,2,3,6,3,
%U 2,2,5,4,8,4,3,2,2,2,2,4,7,3,6,5,10,5
%N Triangle read by rows in which row n lists the parts > 1 of the n-th region of the shell model of partitions, with a(1) = 1.
%C For the definition of "region of n" see A206437. See also A186114. Row n lists the largest part and the parts > 1 of the n-th region of the shell model of partitions. Also 1 together with the numbers > 1 of A206437.
%H Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polpar02.jpg">Illustration of the seven regions of 5</a>
%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 Written as a triangle begins:
%e 1;
%e 2;
%e 3;
%e 2;
%e 4,2;
%e 3;
%e 5,2,
%e 2;
%e 4,2;
%e 3;
%e 6,3,2,2;
%e 3;
%e 5,2;
%e 4;
%e 7,3,2,2;
%Y Column 1 is A141285. Records give A000027. The n-th record is T(A000041(n),1).
%Y Cf. A135010, A138121, A182699, A182709, A183152, A186114, A187219, A194436-A194439, A194447-A194448, A196025, A198381, A206437, A210941.
%K nonn,tabf
%O 1,2
%A _Omar E. Pol_, Apr 18 2012
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