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A001853
Total height of trees with n nodes.
(Formerly M2743 N1102)
5
0, 1, 3, 8, 22, 58, 158, 425, 1161, 3175, 8751, 24192, 67239, 187459, 524579, 1472086, 4142639, 11685501, 33036492, 93583873, 265589158, 754998424, 2149588878, 6128914829, 17497927510, 50017546412, 143137957590, 410062891934, 1175925220607, 3375322972597
OFFSET
1,3
REFERENCES
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
J. Riordan, Enumeration of trees by height and diameter, IBM J. Res. Dev. 4 (1960), 473-478.
J. Riordan, The enumeration of trees by height and diameter, IBM Journal 4 (1960), 473-478. (Annotated scanned copy)
FORMULA
a(n) = Sum_{k=1..n-1} A034781(n,k)*k. - Sean A. Irvine, Mar 24 2016
CROSSREFS
Cf. A034781.
Sequence in context: A027243 A110239 A271893 * A217898 A003227 A291399
KEYWORD
nonn
EXTENSIONS
More terms from Sean A. Irvine, Mar 24 2016
STATUS
approved