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A015687 Expansion of e.g.f. theta_3^(-11/2). 2

%I #14 Oct 23 2018 08:14:38

%S 1,-11,143,-2145,36201,-675675,13777335,-304008705,7204902705,

%T -182276917515,4897582264575,-139156370978625,4165687398497625,

%U -130958825020098075,4311426211189071975,-148272233495263502625

%N Expansion of e.g.f. theta_3^(-11/2).

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 102.

%H Charles R Greathouse IV, <a href="/A015687/b015687.txt">Table of n, a(n) for n = 0..427</a>

%t nmax = 25; CoefficientList[Series[EllipticTheta[3, 0, x]^(-11/2), {x, 0, nmax}], x] * Range[0, nmax]! (* _Vaclav Kotesovec_, Oct 23 2018 *)

%o (PARI) default(seriesprecision,16)

%o th3=1+Ser(sum(i=1,sqrtint(default(seriesprecision)),2*'x^i^2))

%o Vec(serlaplace(th3^(-11/2))) \\ _Charles R Greathouse IV_, Aug 17 2017

%Y Cf. A000122, A015671.

%K sign

%O 0,2

%A _N. J. A. Sloane_

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Last modified March 28 11:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)