The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A305757 Inverse Euler transform of q*(j-720) where j is j-function (A000521). 5
 24, 196584, 16773144, -18919981056, -3292295086056, 2312547886368744, 640457437563740184, -302667453389051314176, -123005476312830648176616, 39529719620247267255853032, 23306082528463942764630528024, -4849033309391159571741461446656 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS (Conjecture) Let {b_n} = inverse Euler transform of (q*(j+144*k)). b_n is a multiple of 24. LINKS Seiichi Manyama, Table of n, a(n) for n = 1..377 N. J. A. Sloane, Transforms FORMULA q*(j-720) = Product_{k>0} (1 - x^k)^(-a(k)). EXAMPLE (1-x)^(-24) * (1-x^2)^(-196584) * (1-x^3)^(-16773144) * (1-x^4)^18919981056 * ... = 1 + 24*x + 196884*x^2 + 21493760*x^3 + 864299970*x^4 + ... . CROSSREFS Inverse Euler transform of q*(j+144*k): (-1)*A192731 (k=0), this sequence (k=-5), (-1)*A289061 (k=-12). Cf. A000521, A007240 (j-720), A302407, A305756. Sequence in context: A056947 A305760 A048057 * A058550 A145200 A007240 Adjacent sequences:  A305754 A305755 A305756 * A305758 A305759 A305760 KEYWORD sign AUTHOR Seiichi Manyama, Jun 10 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 May 9 13:42 EDT 2021. Contains 343742 sequences. (Running on oeis4.)