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Search: id:A046651
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| A046651 |
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Triangle of rooted planar maps. |
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+0
5
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| 1, 1, 2, 1, 6, 6, 1, 12, 26, 24, 1, 20, 75, 120, 110, 1, 30, 174, 416, 594, 546, 1, 42, 350, 1176, 2289, 3094, 2856, 1, 56, 636, 2880, 7322, 12768, 16728, 15504, 1, 72, 1071, 6324, 20475, 44388, 72420, 93024, 86526, 1, 90, 1700, 12740, 51495, 136252, 267240, 417240, 528770, 493350, 1, 110, 2574, 23936, 118734, 378444, 878460, 1610136, 2437149, 3058770, 2861430
(list; table; graph; listen)
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OFFSET
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0,3
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REFERENCES
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W. G. Brown, Enumeration of non-separable planar maps, Canad. J. Math., 15 (1963), 526-545.
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MAPLE
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T := proc(n, k) if k<=n then k*sum((2*j-k)*(j-1)!*(3*n-j-k-1)!/(j-k)!/(j-k)!/(2*k-j)!/(n-j)!, j=k..min(n, 2*k))/(2*n-k)! else 0 fi end: seq(seq(T(n, n-k+1), k=1..n), n=1..11); - Herman Jamke (hermanjamke(AT)fastmail.fm), Apr 19 2008
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CROSSREFS
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A091599 is the same triangle with rows reversed and has much more information.
Sequence in context: A048998 A133314 A049019 this_sequence A063007 A089231 A052296
Adjacent sequences: A046648 A046649 A046650 this_sequence A046652 A046653 A046654
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KEYWORD
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tabl,nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Apr 19 2008
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