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A000439 Powers of rooted tree enumerator.
(Formerly M4608 N1965)
1
9, 30, 69, 133, 230, 369, 560, 814, 1143, 1560, 2079, 2715, 3484, 4403, 5490, 6764, 8245, 9954, 11913, 14145, 16674, 19525, 22724, 26298, 30275, 34684, 39555, 44919, 50808, 57255, 64294, 71960, 80289, 89318, 99085, 109629, 120990, 133209, 146328, 160390, 175439, 191520, 208679 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 150.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=1..43.

Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992.

Simon Plouffe, 1031 Generating Functions and Conjectures, Université du Québec à Montréal, 1992.

Index entries for sequences related to rooted trees

Index entries for sequences related to trees

FORMULA

a(n) = (n^4 + 18*n^3 + 83*n^2 + 114*n)/24. - Philippe Deléham, Feb 13 2004

MAPLE

A000439:=(2*z-3)*(z**2-3*z+3)/(z-1)**5; # conjectured by Simon Plouffe in his 1992 dissertation

CROSSREFS

Sequence in context: A225275 A005919 A084370 * A002414 A273604 A273640

Adjacent sequences:  A000436 A000437 A000438 * A000440 A000441 A000442

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms by Joerg Arndt, May 09 2013

STATUS

approved

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Last modified May 27 16:49 EDT 2017. Contains 287207 sequences.