A194853 Pair(i,j): a folded version of the shell model of partitions (see comments for precise definition).

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).

Links

Table of n, a(n) for n=1..22.

Omar E. Pol, Illustration of the shell model of partitions before of the folding of all partitions (for integers = 1..12)

Formula

A141285(n) = abs(i(n)) + j(n).

Example

-------------------------------------------
                  Pair      The structure
n   A141285(n)   (i, j)    looks like this
-------------------------------------------
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

Cf. A135010, A138121, A141285.

Sequence in context: A334201 A257400 A328081 * A309866 A287150 A257109

Adjacent sequences: A194850 A194851 A194852 * A194854 A194855 A194856

Keyword

sign,more

Author

Omar E. Pol, Feb 12 2012

Status

approved