A361809 - OEIS

%I #8 Mar 25 2023 12:07:45

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

%N Fixed points of A181820 and A361808.

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

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

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

%e 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.

%e 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.

%e 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.

%Y Cf. A025487, A025488, A181820, A361808.

%K nonn,more

%O 1,2

%A _Pontus von Brömssen_, Mar 25 2023