A282904 Concatenation of the numbers of elements of P{1}, P{1, 2}, P{1, 2, 3}, ..., P{1, 2, 3, ..., n}; where P{A} denote the power set of set A ordered by the size of the subsets, and in each subset, following the increasing order.

1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 3, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3

Offset

1,4

Links

Table of n, a(n) for n=1..87.

Example

Rows with power sets of set of numbers from 1 to n (without nonempty sets):
{1};
{1}, {2}, {1, 2};
{1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3};
...
Rows with the number of elements of these subsets:
1;
1, 1, 2;
1, 1, 1, 2, 2, 2, 3;
...
Concatenation: 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 3, ...

Crossrefs

Cf. A193360, A282905, A221914.

Sequence in context: A029415 A339382 A161093 * A299825 A362756 A289493

Adjacent sequences: A282901 A282902 A282903 * A282905 A282906 A282907

Keyword

nonn

Author

Jaroslav Krizek, Feb 24 2017

Status

approved