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%I #26 Mar 11 2014 01:34:19
%S 0,1,0,2,-2,1,0,2,0,4,-1,2,-4,1,0,2,-2,2,0,3,0,6
%N Pair(i,j): a folded version of the shell model of partitions (see comments for precise definition).
%C In the shell model of partitions (Cf. A135010, A138121) the n-th largest part has length = A141285(n). After the folding of the partitions the pair(i,j) shows the horizontal location of the n-th largest part at the level n of the structure (see example).
%H Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polpalpt.jpg">Illustration of the shell model of partitions before of the folding of all partitions (for integers = 1..12)</a>
%F A141285(n) = abs(i(n)) + j(n).
%e -------------------------------------------
%e Pair The structure
%e n A141285(n) (i, j) looks like this
%e -------------------------------------------
%e 1 1 0, 1, *
%e 2 2 0, 2, **
%e 3 3 -2, 1, ***
%e 4 2 0, 2, **
%e 5 4 0, 4, ****
%e 6 3 -1, 2, ***
%e 7 5 -4, 1 *****
%e 8 2 0, 2 **
%e 9 4 -2, 2 ****
%e 10 3 0, 3 ***
%e 11 6 0, 6 ******
%Y Cf. A135010, A138121, A141285.
%K sign,more
%O 1,4
%A _Omar E. Pol_, Feb 12 2012