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!)
 A078973 Total dimension of the homology of a free 2-step nilpotent Lie algebra of rank n. 0
 2, 6, 36, 420, 9800, 452760, 41835024, 7691667984, 2828336198688, 2073619375892064, 3040584296923128384, 8898500292240756664896, 52084270468105185237918848, 608812309050346291991694422400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS J. Grassberger, A. King, P. Tirao, On the homology of free 2-step nilpotent Lie algebras, J. Algebra 254 (2002), 213-225. FORMULA a(n) = 2^ceiling(n/2)*f(floor((n-1)/2))*f(floor(n/2)), where f(n)= Product_{i=1..n} (4*i)!*i!^2/((2*i)!)^3. a(n) ~ K*2^(n^2/2)*n^(1/8), where K=1.3814... - Nordine Fahssi, Jan 17 2019 From Jon E. Schoenfield, Jan 17 2019: (Start) K = 1.38143139396100192327615434710888289668811010590733/       41912628937302462176044631403587011199108546012939... (End) MAPLE f := proc(n) local i: mul((4*i)!*i!^2/((2*i)!)^3, i=1..n): end:seq(2^ceil(n/2)*f(floor((n-1)/2))*f(floor(n/2)), n=1..20); CROSSREFS Sequence in context: A089709 A262234 A055512 * A208650 A152480 A001660 Adjacent sequences:  A078970 A078971 A078972 * A078974 A078975 A078976 KEYWORD nonn AUTHOR Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Jan 12 2003 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 April 10 22:26 EDT 2021. Contains 342856 sequences. (Running on oeis4.)