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Search: id:A003519
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| A003519 |
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10C(2n+1, n-4)/(n+6).
(Formerly M4721)
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+0
20
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| 1, 10, 65, 350, 1700, 7752, 33915, 144210, 600875, 2466750, 10015005, 40320150, 161280600, 641886000, 2544619500, 10056336264, 39645171810
(list; graph; listen)
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OFFSET
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4,2
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COMMENT
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Number of standard tableaux of shape (n+5,n-4). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 30 2004
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REFERENCES
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V. E. Hoggatt, Jr. and M. Bicknell, Catalan and related sequences arising from inverses of Pascal's triangle matrices, Fib. Quart., 14 (1976), 395-405.
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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^4*C(x)^10, 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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A diagonal of any of the essentially equivalent arrays A009766, A030237, A033184, A059365, A099039, A106566, A130020, A047072.
Cf. A000108 A000245 A002057 A000344 A003517 A000588 A003518 A003519 A001392.
Sequence in context: A073381 A092441 A022638 this_sequence A056280 A000453 A097791
Adjacent sequences: A003516 A003517 A003518 this_sequence A003520 A003521 A003522
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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