login
A249688
a(n) = n-th Ramanujan number A000594(n), squared.
2
1, 576, 63504, 2166784, 23328900, 36578304, 280361536, 7136870400, 12914731449, 13437446400, 285809990544, 137599451136, 333781196644, 161488244736, 1481478465600, 974437482496, 47691924412356, 7438885314624
OFFSET
1,2
COMMENTS
For the functional equation for the Dirichlet series f(s) (for Re(s) > 12) of a(n) see the Hardy reference, p. 180, (10.14.3) or (10.14.4) with (10.14.5). It is, with Phi(s):= (2*Pi)^(-2*s)*Gamma(s)*Gamma(s-11)*Zeta(2*(s-11))*f(s), Phi(s) = Phi(23-s). - Wolfdieter Lang, Feb 09 2017
Multiplicative because A000594 is. - Andrew Howroyd, Jul 25 2018
REFERENCES
G. H. Hardy, Ramanujan: twelve lectures on subjects suggested by his life and work, AMS Chelsea Publishing, Providence, Rhode Island, 2002, lecture X, p. 180.
LINKS
MATHEMATICA
Table[RamanujanTau[n]^2, {n, 18}] (* Michael De Vlieger, Feb 09 2017 *)
PROG
(PARI) a(n)=ramanujantau(n)^2 \\ Andrew Howroyd, Jul 25 2018
CROSSREFS
Cf. A000594.
Sequence in context: A168660 A268903 A373454 * A079396 A299414 A300054
KEYWORD
nonn,mult
AUTHOR
N. J. A. Sloane, Nov 07 2014
STATUS
approved