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A248045 (2*(n-1))! * (2*n-1)! / (n * (n-1)!^3). 6

%I #10 Apr 01 2015 08:00:57

%S 1,6,120,4200,211680,13970880,1141620480,111307996800,12614906304000,

%T 1629845894476800,236475822507724800,38072607423743692800,

%U 6735922851893114880000,1299070835722243584000000,271245990498804460339200000,60962536364606302461235200000

%N (2*(n-1))! * (2*n-1)! / (n * (n-1)!^3).

%C Central terms in triangles of Lah numbers: a(n) = - A008297(2*n-1,n) = A105278(2*n-1,n) = A000891(n-1)*A000142(n) = A000894(n-1)*A000142(n-1).

%C a(n) = n * A204515(n-1). - _Reinhard Zumkeller_, Oct 19 2014

%H Reinhard Zumkeller, <a href="/A248045/b248045.txt">Table of n, a(n) for n = 1..250</a>

%F n*a(n) = 4*(2*n-1)*(2*n-3)*a(n-1). - _R. J. Mathar_, Oct 07 2014

%o (Haskell)

%o a248045 n = a000891 (n - 1) * a000142 n

%Y Cf. A000142, A000891, A000894, A008297, A105278, A204515.

%Y Cf. A187535 (Central Lah numbers).

%K nonn

%O 1,2

%A _Reinhard Zumkeller_, Sep 30 2014

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Last modified June 7 04:05 EDT 2024. Contains 373140 sequences. (Running on oeis4.)