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A000259 Number of certain rooted planar maps.
(Formerly M2943 N1185)
+0
2
1, 3, 13, 63, 326, 1761, 9808, 55895, 324301, 1908878, 11369744, 68395917, 414927215, 2535523154, 15592255913, 96419104103, 599176447614, 3739845108057, 23435007764606, 147374772979438, 929790132901804 (list; graph; listen)
OFFSET

1,2

REFERENCES

W. G. Brown, Enumeration of non-separable planar maps, Canad. J. Math., 15 (1963), 526-545.

MAPLE

with(linalg): 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: A := matrix(30, 30, T): seq(sum(A[i, j], j=1..i), i=1..30); (from E. Deutsch)

CROSSREFS

Row sums of A046651.

Sequence in context: A026715 A001850 A130525 this_sequence A007855 A107097 A006923

Adjacent sequences: A000256 A000257 A000258 this_sequence A000260 A000261 A000262

KEYWORD

nonn

AUTHOR

njas

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 03 2004

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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