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Search: id:A000589
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| A000589 |
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11C(2n,n-5)/(n+6).
(Formerly M4797 N2048)
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+0
7
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| 1, 11, 77, 440, 2244, 10659, 48279, 211508, 904475, 3798795, 15737865, 64512240, 262256280, 1059111900, 4254603804, 17018415216, 67837293986
(list; graph; listen)
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OFFSET
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5,2
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COMMENT
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Number of lattice paths from (0,0) to (n,n) with steps E=(1,0) and N=(0,1) which touch but do not cross the line x-y=5. - Herbert Kociemba (kociemba(AT)t-online.de), May 24 2004
Number of standard tableaux of shape (n+5,n-5). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 30 2004
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REFERENCES
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A. Papoulis, A new method of inversion of the Laplace transform, Quart. Applied Math. 14 (1956), 405ff.
J. Riordan, The distribution of crossings of chords joining pairs of 2n points on a circle, Math. Comp., 29 (1975), 215-222.
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LINKS
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R. K. Guy, Catwalks, Sandsteps and Pascal Pyramids, J. Integer Seqs., Vol. 3 (2000), #00.1.6
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FORMULA
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Expansion of x^5*C^11, where C = (1-(1-4*x)^(1/2))/(2*x)is g.f. for Catalan numbers, A000108 . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Feb 03 2004
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CROSSREFS
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Sequence in context: A059625 A023010 A022639 this_sequence A118936 A041224 A030054
Adjacent sequences: A000586 A000587 A000588 this_sequence A000590 A000591 A000592
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KEYWORD
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nonn
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AUTHOR
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njas
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