%I A049401
%S A049401 1,1,2,4,10,26,75,225,715,2347,7990,27908,99991,365587,1362310,5159208,
%T A049401 19831101,77233517,304423574,1212962072,4881181036,19821471956,
%U A049401 81165639197,334925706659,1391935877463,5823186349671,24511802558326
%N A049401 Number of Young tableaux of height <= 5.
%D A049401 F. Bergeron, L. Favreau and D. Krob, Conjectures on the enumeration of 
               tableaux of bounded height, Discrete Math, vol. 139, no. 1-3 (1995), 
               463-468.
%D A049401 R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see 
               Problem 7.16(b), y_5(n), p. 452.
%H A049401 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 A049401 <a href="Sindx_Y.html#Young">Index entries for sequences related to Young 
               tableaux.</a>
%F A049401 E.g.f.: e^x*(BesselI(0, 2*x)^2 - BesselI(0, 2*x)*BesselI(2, 2*x) - BesselI(0, 
               2*x)*BesselI(4, 2*x) - BesselI(1, 2*x)^2 + 2*BesselI(1, 2*x)*BesselI(3, 
               2*x) + BesselI(2, 2*x)*BesselI(4, 2*x) - BesselI(3, 2*x)^2) (BesselI 
               = modified Bessel function of first kind)
%Y A049401 Sum of first five diagonals of A047884. Cf. A007579.
%Y A049401 Sequence in context: A089404 A006123 A006251 this_sequence A148099 A007579 
               A007123
%Y A049401 Adjacent sequences: A049398 A049399 A049400 this_sequence A049402 A049403 
               A049404
%K A049401 nonn,easy
%O A049401 0,3
%A A049401 Alford Arnold (Alford1940(AT)AOL.com), N. J. A. Sloane (njas(AT)research.att.com).
%E A049401 More terms from Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), 
               Jun 17 2001