A361809 Fixed points of A181820 and A361808.

1, 2, 3, 4, 5, 6, 7, 15, 46, 58, 817, 5494, 8502

Offset

1,2

Comments

Numbers k such that the partition with Heinz number k is identical to the partition given by the prime signature of A025487(k).

There are no more terms below 10177058 = A025488(143).

Links

Table of n, a(n) for n=1..13.

Formula

A181820(a(n)) = A361808(a(n)) = a(n).

Example

4 is a term because the partition with Heinz number 4 = 2^2 = prime(1)^2 is (1,1), which is identical to the partition given by the prime signature of A025487(4) = 6 = 2^1*3^1.
15 is a term because the partition with Heinz number 15 = 3*5 = prime(2)*prime(3) is (2,3), which is identical to the partition given by the prime signature of A025487(15) = 72 = 2^3*3^2.
8502 is a term because the partition with Heinz number 8502 = 2*3*13*109 = prime(1)*prime(2)*prime(6)*prime(29) is (1,2,6,29), which is identical to the partition given by the prime signature of A025487(8502) = 68491306598400 = 2^29*3^6*5^2*7.

Crossrefs

Cf. A025487, A025488, A181820, A361808.

Sequence in context: A165804 A055402 A274839 * A367933 A356194 A065640

Adjacent sequences: A361806 A361807 A361808 * A361810 A361811 A361812

Keyword

nonn,more

Author

Pontus von Brömssen, Mar 25 2023

Status

approved