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A152653 a(n) = (n-1)! * Product_{k=1..n-2} (n-k)!. 1
1, 1, 4, 72, 6912, 4147200, 17915904000, 632073093120000, 203881496916787200000, 665860658410473652224000000, 24162751572399267891904512000000000, 10609496941616618062463314270617600000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
FORMULA
G.f.: G(0)/2, where G(k)= 1 + 1/(1 - 1/(1 + 1/((k+2)!-(k+1)!)/x/G(k+1))); (continued fraction). - Sergei N. Gladkovskii, Jun 14 2013
a(n) = A000178(n)/n. - Vaclav Kotesovec, Jun 28 2013
a(n) = Det_{i,j = 1..n} i^(j+1), n >= 1, (alternants). - Wolfdieter Lang, Oct 10 2015
MATHEMATICA
Table[(n-1)!Product[(n-k)!, {k, n-2}], {n, 13}] (* Harvey P. Dale, Jul 26 2011 *)
Table[(n-1)! BarnesG[n+1], {n, 1, 12}] (* Jean-François Alcover, Nov 07 2016 *)
CROSSREFS
Sequence in context: A177392 A158269 A024257 * A344693 A172478 A087315
KEYWORD
nonn,easy
AUTHOR
Karol A. Penson, Dec 10 2008
EXTENSIONS
a(12) provided by Harvey P. Dale, Jul 26 2011
STATUS
approved

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Last modified June 17 03:01 EDT 2024. Contains 373432 sequences. (Running on oeis4.)