login
a(n) is the n-th nonprime number raised to the n-th prime number.
0

%I #47 Dec 09 2022 05:53:54

%S 1,64,7776,2097152,31381059609,10000000000000,2218611106740436992,

%T 5976303958948914397184,1122274146401882171630859375,

%U 83076749736557242056487941267521536,819308872942260126404286866009182175232,1374389534720000000000000000000000000000000000000

%N a(n) is the n-th nonprime number raised to the n-th prime number.

%F a(n) = A018252(n)^A000040(n).

%e a(3) = 6^5 = 7776 because 6 is the 3rd nonprime number and 5 is the 3rd prime number.

%o (PARI) lista(nn) = my(k=1); for(n=1, nn, if (!isprime(n), print1(n^prime(k), ", "); k++)) \\ _Michel Marcus_, Apr 12 2018

%Y Cf. A000040, A018252, A086650, A086701.

%K nonn

%O 1,2

%A _Kritsada Moomuang_, Apr 12 2018

%E a(9) corrected by _Georg Fischer_, Dec 09 2022