%I A047890
%S A047890 1,2,6,24,120,719,5003,39429,344837,3291590,33835114,370531683,
%T A047890 4285711539,51990339068,657723056000,8636422912277,117241501095189,
%U A047890 1639974912709122,23570308719710838,347217077020664880
%N A047890 Number of permutations in S_n with longest increasing subsequence of 
               length <= 5.
%D A047890 Gessel, Ira M.; Symmetric functions and P-recursiveness. J. Combin. Theory 
               Ser. A 53 (1990), no. 2, 257-285.
%H A047890 F. Bergeron and F. Gascon, <a href="http://www.cs.uwaterloo.ca/journals/
               JIS/index.html">Counting Young tableaux of bounded height</a>, J. 
               Integer Sequences, Vol. 3 (2000), #00.1.7.
%H A047890 <a href="Sindx_Y.html#Young">Index entries for sequences related to Young 
               tableaux.</a>
%Y A047890 A column of A047888. Cf. A005802, A052399.
%Y A047890 Sequence in context: A121987 A164872 A052398 this_sequence A071088 A122417 
               A033644
%Y A047890 Adjacent sequences: A047887 A047888 A047889 this_sequence A047891 A047892 
               A047893
%K A047890 nonn,easy
%O A047890 1,2
%A A047890 Eric Rains (rains(AT)caltech.edu), N. J. A. Sloane (njas(AT)research.att.com).
%E A047890 More terms from Naohiro Nomoto (n_nomoto(AT)yabumi.com), Mar 01 2002