A262430 - OEIS

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A262430

Number of trees on n vertices with an even number of leaves.

1, 0, 1, 1, 1, 2, 3, 6, 12, 25, 54, 120, 278, 657, 1586, 3885, 9676, 24350, 61974, 159066, 411637, 1072477, 2812147, 7414611, 19650656, 52319946, 139898593, 375536661, 1011726481, 2734793731, 7415449225, 20165442393, 54986240994, 150314506170, 411889913114, 1131183374539, 3113153283443, 8584839296108, 23718157486109, 65645273392938, 181995130879151, 505374042479921, 1405493247220915, 3914493122094481, 10917513971606377, 30489195524251154, 85254349619909519, 238677545463592954, 668973050139380099, 1877097093098685409, 5272616851780131627

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OFFSET

0,6

COMMENTS

For n>=0, a(n) + A262431(n) = A000055(n).

For n>=2, a(n) - A262431(n) = A262395(n).

LINKS

Table of n, a(n) for n=0..50.

FORMULA

G.f.: (A(x,1)+A(x,-1))/2, where A(x,y) is g.f. for A055290.

CROSSREFS

Cf. A000055, A055290, A055277, A262431.