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A014279 Number of trees on n nodes with forbidden limbs. 0
0, 1, 1, 1, 1, 1, 2, 6, 10, 20, 44, 93, 207, 468, 1085, 2533, 6028, 14447, 35044, 85603, 210846, 522471, 1302878, 3265540, 8225968, 20811621, 52871283, 134818074, 344980825, 885594103, 2280242386, 5887628644, 15241879904, 39555061929, 102888822104, 268211468560, 700610325830, 1833649443782, 4807859710218, 12628194814355, 33223584816956 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Table of n, a(n) for n=0..40.

T. Lu, The enumeration of trees with and without given limbs, Discr. Math., 154 (1996), 153-165, Example 6.

Index entries for sequences related to trees

FORMULA

G.f. g014278(x) -(g014278(x)^2 - g014278(x^2) )/2, where g015278 is the o.g.f. of A014278. - R. J. Mathar, Feb 27 2016

CROSSREFS

Sequence in context: A096338 A198381 A317759 * A050543 A025588 A009325

Adjacent sequences:  A014276 A014277 A014278 * A014280 A014281 A014282

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 20 20:50 EDT 2019. Contains 326155 sequences. (Running on oeis4.)