This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A294183 Coefficients in expansion of E_6/E_8. 3
 1, -984, 393768, -129252576, 38684099112, -10970838627984, 3003345011096352, -801909012374388672, 210169391033048138280, -54295810529811041175672, 13867098270790394508774768, -3508693915623201191415922848 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..421 FORMULA Convolution inverse of A288840. a(n) ~ (-1)^n * 512 * Pi^12 * exp(Pi*sqrt(3)*n) * n / (3 * Gamma(1/3)^18). - Vaclav Kotesovec, Jun 03 2018 MATHEMATICA terms = 12; E6[x_] = 1 - 504*Sum[k^5*x^k/(1 - x^k), {k, 1, terms}]; E8[x_] = 1 + 480*Sum[k^7*x^k/(1 - x^k), {k, 1, terms}]; E6[x]/E8[x] + O[x]^terms // CoefficientList[#, x]& (* Jean-François Alcover, Feb 23 2018 *) CROSSREFS Cf. A008410 (E_8). A013973 (E_6), A287933, A288840. E_k/E_{k+2}: A294181 (k=2), A294182 (k=4), this sequence (k=6). Sequence in context: A249216 A289063 A289061 * A288840 A289417 A131640 Adjacent sequences:  A294180 A294181 A294182 * A294184 A294185 A294186 KEYWORD sign AUTHOR Seiichi Manyama, Feb 11 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.

Last modified September 21 13:37 EDT 2019. Contains 327253 sequences. (Running on oeis4.)