A079396 Ramanujan's tau function squared applied to primes.

576, 63504, 23328900, 280361536, 285809990544, 333781196644, 47691924412356, 113665876416400, 347571590865984, 16488262627956900, 2792400404276224, 33201691798862596, 94938206778275364, 293289874501264, 7221841938953462016, 2547393791118267204, 26927835455229987600

Offset

1,1

Links

Table of n, a(n) for n=1..17.

Formula

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

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

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

Example

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

Mathematica

RamanujanTau[Prime[Range[20]]]^2 (* Georg Fischer, Sep 28 2024 *)

Prog

(PARI) a(n) = ramanujantau(prime(n))^2 /* Georg Fischer, Sep 28 2024 */

Crossrefs

Cf. A000040, A000594, A076847, A249688.

Sequence in context: A268903 A373454 A249688 * A299414 A300054 A013775

Adjacent sequences: A079393 A079394 A079395 * A079397 A079398 A079399

Keyword

nonn

Author

Jon Perry, Jan 06 2003

Status

approved