A001852 Total diameter of labeled trees with n nodes. (Formerly M4247 N1774)

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

Table of n, a(n) for n=1..18.

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)

Index entries for sequences related to trees

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

Adjacent sequences: A001849 A001850 A001851 * A001853 A001854 A001855

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Mar 24 2016

Status

approved