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A194853
Pair(i,j): a folded version of the shell model of partitions (see comments for precise definition).
1
0, 1, 0, 2, -2, 1, 0, 2, 0, 4, -1, 2, -4, 1, 0, 2, -2, 2, 0, 3, 0, 6
OFFSET
1,4
COMMENTS
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).
FORMULA
A141285(n) = abs(i(n)) + j(n).
EXAMPLE
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Pair The structure
n A141285(n) (i, j) looks like this
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1 1 0, 1, *
2 2 0, 2, **
3 3 -2, 1, ***
4 2 0, 2, **
5 4 0, 4, ****
6 3 -1, 2, ***
7 5 -4, 1 *****
8 2 0, 2 **
9 4 -2, 2 ****
10 3 0, 3 ***
11 6 0, 6 ******
CROSSREFS
KEYWORD
sign,more
AUTHOR
Omar E. Pol, Feb 12 2012
STATUS
approved