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A049401
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Number of Young tableaux of height <= 5.
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5
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1, 1, 2, 4, 10, 26, 75, 225, 715, 2347, 7990, 27908, 99991, 365587, 1362310, 5159208, 19831101, 77233517, 304423574, 1212962072, 4881181036, 19821471956, 81165639197, 334925706659, 1391935877463, 5823186349671, 24511802558326
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| 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.
R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see Problem 7.16(b), y_5(n), p. 452.
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LINKS
| F. Bergeron and F. Gascon, Counting Young tableaux of bounded height, J. Integer Sequences, Vol. 3 (2000), #00.1.7.
Index entries for sequences related to Young tableaux.
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FORMULA
| 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)
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CROSSREFS
| Sum of first five diagonals of A047884. Cf. A007579.
Sequence in context: A089404 A006123 A006251 * A148099 A007579 A007123
Adjacent sequences: A049398 A049399 A049400 * A049402 A049403 A049404
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KEYWORD
| nonn,easy
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AUTHOR
| Alford Arnold (Alford1940(AT)AOL.com), N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Jun 17 2001
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