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Ramanujan's tau function squared applied to primes.
0

%I #31 Sep 28 2024 19:04:10

%S 576,63504,23328900,280361536,285809990544,333781196644,

%T 47691924412356,113665876416400,347571590865984,16488262627956900,

%U 2792400404276224,33201691798862596,94938206778275364,293289874501264,7221841938953462016,2547393791118267204,26927835455229987600

%N Ramanujan's tau function squared applied to primes.

%F a(n) = A076847(n)^2.

%F a(n) = A000594(A000040(n))^2.

%F a(n) = A249688(A000040(n)).

%e tau(2)=-24, therefore a(1)=24^2=576.

%t RamanujanTau[Prime[Range[20]]]^2 (* _Georg Fischer_, Sep 28 2024 *)

%o (PARI) a(n) = ramanujantau(prime(n))^2 /* _Georg Fischer_, Sep 28 2024 */

%Y Cf. A000040, A000594, A076847, A249688.

%K nonn

%O 1,1

%A _Jon Perry_, Jan 06 2003