login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A299832 Coefficients in expansion of (q*j(q))^(-1/2) where j(q) is the elliptic modular invariant (A000521). 3
1, -372, 109134, -29582728, 7708451301, -1961287513020, 491099261627462, -121565597132437848, 29833005033279338994, -7271987659286598049924, 1763026435863342757734816, -425536800137353949416343064, 102330765938465480149314691831 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..12.

FORMULA

Convolution inverse of A161361.

a(n) ~ (-1)^n * c * exp(Pi*sqrt(3)*n) * sqrt(n), where c = 1.26222636056850175307711547840462898041775779303411175244... = 2^(5/2) * exp(sqrt(3) * Pi/2) * Pi^(11/2) / (3^(3/2) * Gamma(1/3)^9). - Vaclav Kotesovec, Feb 20 2018, updated Mar 06 2018

a(n) * A161361(n) ~ 3*exp(2*sqrt(3)*Pi*n) / (2*Pi*n^2). - Vaclav Kotesovec, Feb 20 2018

MATHEMATICA

CoefficientList[Series[(2 * QPochhammer[-1, x])^12 / (65536 + x*QPochhammer[-1, x]^24)^(3/2), {x, 0, 20}], x] (* Vaclav Kotesovec, Feb 20 2018 *)

CROSSREFS

Cf. A000521, A161361.

Sequence in context: A161361 A265659 A238774 * A203439 A265235 A202912

Adjacent sequences:  A299829 A299830 A299831 * A299833 A299834 A299835

KEYWORD

sign

AUTHOR

Seiichi Manyama, Feb 20 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 15 20:24 EDT 2019. Contains 325056 sequences. (Running on oeis4.)