login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 


Coefficients in expansion of E_4^(3/2).
2

%I #21 Mar 05 2018 12:33:30

%S 1,360,24840,-465120,57417480,-6800282640,930889890720,

%T -139401582644160,22250341370421000,-3723955494287559480,

%U 646515765251485521840,-115559140273640812421280,21150946022800731753255840,-3948247836773858791840263120

%N Coefficients in expansion of E_4^(3/2).

%H Seiichi Manyama, <a href="/A299955/b299955.txt">Table of n, a(n) for n = 0..426</a>

%F Convolution cube of A289292.

%F a(n) ~ (-1)^n * c * exp(Pi*sqrt(3)*n) / n^(5/2), where c = 81*Gamma(1/3)^27 / (32768*sqrt(2)*Pi^(37/2)) = 0.39832876770813443250501819621900549862424768734... - _Vaclav Kotesovec_, Mar 05 2018

%Y E_4^(k/8): A108091 (k=1), A289307 (k=2), A289308 (k=3), A289292 (k=4), A289309 (k=5), A289318 (k=6), A289319 (k=7), A004009 (k=8), this sequence (k=12), A008410 (k=16), A008411 (k=24), A282012 (k=32), A282015 (k=40).

%K sign

%O 0,2

%A _Seiichi Manyama_, Feb 22 2018

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 19 20:04 EDT 2024. Contains 376014 sequences. (Running on oeis4.)