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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A028541 Character of extremal vertex operator algebra of rank 18. 0
1, 0, 0, 7176, 36405, 451152, 1850520, 11430360, 40829508, 180254320, 578006136, 2083510440, 6126245505, 19249667568, 52694220240, 149784377808, 386132988195, 1016209016640, 2489040955848, 6159593155680, 14435004725811, 33958887040560, 76572044994960 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

REFERENCES

G. Höhn, Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Bonner Mathematische Schriften, Vol. 286 (1996), 1-85.

LINKS

Table of n, a(n) for n=0..22.

G. Höhn (gerald(AT)math.ksu.edu), Selbstduale Vertexoperatorsuperalgebren und das Babymonster, Doctoral Dissertation, Univ. Bonn, Jul 15 1995 (pdf, ps).

FORMULA

G.f.: x^(2*r/24) * (B(x)^(2*r) - 2*r*B(x)^(2*r-24) - r*(47-2*r)*B(x)^(2*r-48) where B(x) = x^(-1/24) * Product_{k>=0} (1+x^(2*k+1)) = x^(-1/24) * A000700 and r = 18. - Sean A. Irvine, Feb 29 2020

CROSSREFS

Cf. A000700.

Sequence in context: A214336 A279529 A237394 * A159223 A143193 A064979

Adjacent sequences:  A028538 A028539 A028540 * A028542 A028543 A028544

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Sean A. Irvine, Feb 29 2020

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | 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 June 26 13:04 EDT 2022. Contains 354883 sequences. (Running on oeis4.)