A011859 Normalized sequence of cumulants formed from moments in a quantum many-body problem at its critical point.

-1, 1, 4, 14, 16, -400, -5312, -33040, 134400, 7141632, 104530944, 438163968, -19703033856, -615381651456, -8122606469120, 54420468856832, 5822016615940096, 150504948558528512, 1126972987747336192, -72753308251479212032

Offset

1,3

Links

Sean A. Irvine, Table of n, a(n) for n = 1..100

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

Adjacent sequences: A011856 A011857 A011858 * A011860 A011861 A011862

Keyword

sign

Author

Nick Witte (nsw(AT)allegro.ph.unimelb.EDU.AU)

Extensions

More terms from Sean A. Irvine, Jul 02 2018

Status

approved