Search: id:A005790
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%I A005790 M4954
%S A005790 1,14,462,24024,1662804,140229804,13672405890,1489877926680,177295473274920,
%T A005790 22661585038594320,3073259571003214320,438091463242348309440,
%U A005790 65166105157299311029200,10056663345892631910888600
%N A005790 4-dimensional Catalan numbers.
%C A005790 Number of standard tableaux of shape (n,n,n,n). - Emeric Deutsch (deutsch(AT)duke.poly.edu), 
               May 13 2004
%D A005790 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A005790 Snover, Stephen L.; Troyer, Stephanie F.; A four-dimensional Catalan 
               formula. Proceedings of the Nineteenth Manitoba Conference on Numerical 
               Mathematics and Computing (Winnipeg, MB, 1989). Congr. Numer. 75 
               (1990), 123-126.
%F A005790 a(n) = 12(4n)!/n!(n+1)!(n+2)!(n+3)!. G.f.: 4_F_3 ( [ 1, 3/2, 5/4, 7/4 
               ]; [ 3, 4, 5 ]; 256 x ).
%Y A005790 A row of A060854.
%Y A005790 Sequence in context: A041364 A033815 A103916 this_sequence A128051 A024299 
               A159645
%Y A005790 Adjacent sequences: A005787 A005788 A005789 this_sequence A005791 A005792 
               A005793
%K A005790 nonn,easy
%O A005790 1,2
%A A005790 N. J. A. Sloane (njas(AT)research.att.com).

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