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A262431
Number of trees on n vertices with an odd number of leaves.
2
0, 1, 0, 0, 1, 1, 3, 5, 11, 22, 52, 115, 273, 644, 1573, 3856, 9644, 24279, 61893, 158889, 411428, 1072028, 2811609, 7413463, 19649241, 52316944, 139894857, 375528799, 1011716551, 2734772854, 7415422577, 20165386637, 54986169227, 150314356310, 411889718607, 1131182969207, 3113152753735, 8584838194606, 23718156038153, 65645270386188, 181995126904192, 505374034237230, 1405493236272560, 3914493099421124, 10917513941356709, 30489195461667752, 85254349536078343, 238677545290333506, 668973049906462186, 1877097092617714583, 5272616851131377907
OFFSET
0,7
COMMENTS
For n>=0, A262430(n) + a(n) = A000055(n).
For n>=2, A262430(n) - a(n) = A262395(n).
FORMULA
G.f.: (A(x,1)-A(x,-1))/2, where A(x,y) is g.f. for A055290.
CROSSREFS
KEYWORD
nonn
AUTHOR
Max Alekseyev, Sep 22 2015
STATUS
approved