Search: id:A091552
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%I A091552
%S A091552 1,308,154840,121284800,138146444800,216595133081600,448169865375232000,
%T A091552 1184352885735219200000,3894384547720687820800000,
%U A091552 15599967808704696966348800000,74806554280938737689393561600000
%N A091552 Second column (k=3) sequence of array A092077 ((8,2)-Stirling2) divided 
               by 16.
%F A091552 E.g.f.: (hypergeom([1/3, 1/2], [], 36*x) - 3*hypergeom([1/6, 1/3], [], 
               36*x) + 2)/(3!*16).
%F A091552 a(n)= (2^n)*product(3*j+1, j=0..n-1)*(-3*product(6*j+1, j=0..n-1) + product(6*j+3, 
               j=0..n-1))/(3!*16), n>=2. From eq.12 of the Blasiak et al. reference 
               given in A078740 with r=8, s=2, k=3.
%F A091552 a(n)=(2^(2*n-5))*(3^(2*n-1))*risefac(1/3, n)*(-3*risefac(1/6, n) + risefac(1/
               2, n)), n>=2, with risefac(x, n)=Pochhammer(x, n).
%Y A091552 Cf. A091551 (second column of (7, 2)-Stirling2 array).
%Y A091552 Sequence in context: A118284 A118843 A053172 this_sequence A159004 A031782 
               A060980
%Y A091552 Adjacent sequences: A091549 A091550 A091551 this_sequence A091553 A091554 
               A091555
%K A091552 nonn,easy
%O A091552 2,2
%A A091552 Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), 
               Feb 13 2004

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