A282936 Concatenation of the products of elements of P{d_1}, P{d_2}, P{d_3}, ..., P{d_n}; where P{d_n} denote the power set of the set of divisors of n ordered by the size of the subsets, and in each subset, following the increasing order.

1, 1, 2, 2, 1, 3, 3, 1, 2, 4, 2, 4, 8, 8, 1, 5, 5, 1, 2, 3, 6, 2, 3, 6, 6, 12, 18, 6, 12, 18, 36, 36, 1, 7, 7, 1, 2, 4, 8, 2, 4, 8, 8, 16, 32, 8, 16, 32, 64, 64, 1, 3, 9, 3, 9, 27, 27, 1, 2, 5, 10, 2, 5, 10, 10, 20, 50, 10, 20, 50, 100, 100, 1, 11, 11, 1, 2, 3

Offset

1,3

Links

Table of n, a(n) for n=1..78.

Example

Rows with power sets of set of divisors of n (without nonempty sets):
{1};
{1}, {2}, {1, 2};
{1}, {3}, {1, 3};
{1}, {2}, {4}, {1, 2}, {1, 4}, {2, 4}, {1, 2, 4};
...
Rows with the products of elements of these subsets:
1;
1, 2, 2;
1, 3, 3;
1, 2, 4, 2, 4, 8, 8;
...
Concatenation: 1, 1, 2, 2, 1, 3, 3, 1, 2, 4, 2, 4, 8, 8, ...

Crossrefs

Cf. A282903, A282934, A282935.

Sequence in context: A357814 A104660 A212125 * A220073 A272020 A264263

Adjacent sequences: A282933 A282934 A282935 * A282937 A282938 A282939

Keyword

nonn

Author

Jaroslav Krizek, Feb 25 2017

Status

approved