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 A079479 Denominator of number J(n) arising in computation of second moment of A*_n lattice. 1
 1, 12, 18, 32, 375, 648, 33614, 196608, 1594323, 625000, 14147686146, 35831808, 1792160394037, 94911683664, 1922167968750, 140737488355328, 8587269154529447379, 61004779879896, 10960773715569604371878, 384000000000000000, 123629392983875275287, 978545447174632740656 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 476. LINKS EXAMPLE 0, 1/12, 5/18, 19/32, 389/375, 1045/648, 78077/33614, ... MAPLE J := proc(n) option remember; local i; if n <= 1 then 0 else (n!/(8*(n+1)*n^(n-2))) * add( n^k/k!, k=0..n) -n^2/(4*(n+1)) +(1/(n+1))*add( binomial(n, i)*(i/n)^i*( (n-i)/n)^(n-i-1)*J(i), i=1..n-1); fi; end; CROSSREFS Cf. A072526. Sequence in context: A007371 A277725 A319746 * A293692 A162694 A230354 Adjacent sequences:  A079476 A079477 A079478 * A079480 A079481 A079482 KEYWORD nonn,frac AUTHOR N. J. A. Sloane, Aug 02 2003 STATUS approved

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Last modified September 21 04:58 EDT 2020. Contains 337267 sequences. (Running on oeis4.)