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a(n) = binomial(2^n, prime(n)).
2

%I #9 Jul 03 2018 21:20:40

%S 1,4,56,11440,129024480,13136858812224,614965786737727286400,

%T 23665616042362569982121184000,

%U 4818341997044953599090397918009939136000

%N a(n) = binomial(2^n, prime(n)).

%H Harry J. Smith, <a href="/A060497/b060497.txt">Table of n, a(n) for n = 1..31</a>

%e n = 4, a(4) = binomial(16,7) = binomial(2^4, p(4)) = 11440.

%o (PARI) { n=0; forprime (p=1, 128, write("b060497.txt", n++, " ", binomial(2^n, p)); ) } \\ _Harry J. Smith_, Jul 06 2009

%Y Cf. A014070, A006516.

%K easy,nonn

%O 1,2

%A _Labos Elemer_, Apr 11 2001