The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A011859 Normalized sequence of cumulants formed from moments in a quantum many-body problem at its critical point. 2
-1, 1, 4, 14, 16, -400, -5312, -33040, 134400, 7141632, 104530944, 438163968, -19703033856, -615381651456, -8122606469120, 54420468856832, 5822016615940096, 150504948558528512, 1126972987747336192, -72753308251479212032 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
FORMULA
a(n) = (-4)^n / (2 * Pi) * Integral_{x=-oo..oo} sech(x) * tanh^n(x) * (d^(n-1) / dx^(n-1)) tanh(x) dx. [Corrected and improved by Sean A. Irvine, Jul 02 2018]
CROSSREFS
Sequence in context: A030364 A044967 A298126 * A032825 A251966 A022383
KEYWORD
sign
AUTHOR
Nick Witte (nsw(AT)allegro.ph.unimelb.EDU.AU)
EXTENSIONS
More terms from Sean A. Irvine, Jul 02 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 8 13:51 EDT 2024. Contains 373217 sequences. (Running on oeis4.)