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A181820 a(1) = 1; for n > 1, if A025487(n) = Product p(i)^e(i), then a(n) = Product p(e(i)). 11

%I #16 Mar 25 2023 12:07:54

%S 1,2,3,4,5,6,7,10,8,11,9,14,12,13,15,22,20,17,21,18,26,16,25,28,19,33,

%T 30,34,24,35,44,23,39,42,38,40,55,27,52,29,50,51,36,49,66,46,56,65,45,

%U 68,31,70,57,32,60,77,78,58,88,85,63,76,37,110,69,48,84,91,75,102,62,54,98,104,95

%N a(1) = 1; for n > 1, if A025487(n) = Product p(i)^e(i), then a(n) = Product p(e(i)).

%C A permutation of the positive integers.

%C The partition given by the prime signature of A025487(n) has Heinz number a(n). - _Pontus von Brömssen_, Mar 25 2023

%H Amiram Eldar, <a href="/A181820/b181820.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the positive integers</a>

%F a(n) = A181819(A025487(n)).

%F a(n) = A122111(A181815(n)).

%e A025487(8) = 24 = 2^3*3 has the exponents (3,1) in its canonical prime factorization. Accordingly, a(8) = prime(3)*prime(1) (i.e., A000040(3)*A000040(1)), which equals 5*2=10.

%Y A181815 is another mapping from the members of A025487 to the positive integers. Also see A181819, A181821.

%Y Cf. A000040, A122111, A361808 (inverse), A361809 (fixed points).

%K nonn

%O 1,2

%A _Matthew Vandermast_, Dec 07 2010

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Last modified March 29 11:14 EDT 2024. Contains 371278 sequences. (Running on oeis4.)