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Search: id:A000590
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| A000590 |
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13C(2n,n-6)/(n+7).
(Formerly M4908 N2104)
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+0
5
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| 1, 13, 104, 663, 3705, 19019, 92092, 427570, 1924065, 8454225, 36463440, 154969620, 650872404, 2707475148, 11173706960, 45812198536, 186803188858
(list; graph; listen)
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OFFSET
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6,2
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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=6. - Herbert Kociemba (kociemba(AT)t-online.de), May 24 2004
Number of standard tableaux of shape (n+6,n-6). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 30 2004
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
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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G.f.=x^6*C(x)^13, where C(x)=[1-sqrt(1-4x)]/(2x) is g.f. for the Catalan numbers (A000108). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 30 2004
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CROSSREFS
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Adjacent sequences: A000587 A000588 A000589 this_sequence A000591 A000592 A000593
Sequence in context: A129762 A023011 A022641 this_sequence A052065 A041316 A080422
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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