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A001852
Total diameter of labeled trees with n nodes.
(Formerly M4247 N1774)
1
0, 1, 6, 44, 430, 5322, 79184, 1381144, 27730602, 630422390, 16006336852, 448982630340, 13792542282974, 460632431511826, 16620059192605080, 644338908974954672, 26713929408696716242, 1179487563859389821166
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. [broken link]
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(1) = 0, a(2) = 1, a(n) = Sum_{k=2..n-1} A034854(n,k)*k. - Sean A. Irvine, Mar 24 2016
CROSSREFS
Cf. A034854.
Sequence in context: A279085 A124996 A226045 * A352843 A284218 A295978
KEYWORD
nonn
EXTENSIONS
More terms from Sean A. Irvine, Mar 24 2016
STATUS
approved