A220482 Triangle read by rows: T(j,k) in which row j lists the parts in nondecreasing order of the j-th region of the set of partitions of n, with 1<=j<=A000041(n).

1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 2, 4, 3, 1, 1, 1, 1, 1, 2, 5, 2, 2, 4, 3, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 6, 3, 2, 5, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 7, 2, 2, 4, 3, 2, 2, 3, 6, 5, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 8

Offset

1,3

Comments

For the definition of "region" of the set of partitions of n see A206437.

Links

Table of n, a(n) for n=1..86.

Example

First 15 rows of the irregular triangle are
1;
1, 2;
1, 1, 3;
2;
1, 1, 1, 2, 4;
3;
1, 1, 1, 1, 1, 2, 5;
2;
2, 4;
3;
1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 6;
3;
2, 5;
4;
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 7;

Crossrefs

Positive terms of A186114. Mirror of A206437.

Row j has length A194446(j). Row sums give A186412.

Cf. A135010, A141285, A193870.

Sequence in context: A030321 A030305 A228350 * A084580 A263633 A171850

Adjacent sequences: A220479 A220480 A220481 * A220483 A220484 A220485

Keyword

nonn,tabf

Author

Omar E. Pol, Jan 27 2013

Status

approved