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A141319
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INVERTi transform of A141318.
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1
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2, 3, 8, 46, 252, 1558, 9800, 64115, 428546, 2921527, 20220128, 141746372, 1004278856, 7180301580, 51739691584, 375370204876, 2739615168344, 20100885190508, 148179065429664, 1096966770610372, 8151826588836472, 60787793832205004, 454719634089674432
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Number of generators of degree n of the primitive Lie algebra of the Hopf algebra of 2-colored planar binary trees.
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LINKS
| Alois P. Heinz, Table of n, a(n) for n = 1..350
J.-C. Novelli and J.-Y. Thibon, Free quasi-symmetric functions and descent algebras for wreath products and noncommutative multi-symmetric functions
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MAPLE
| with (numtheory):
b:= proc(n) option remember;
`if`(n=0, 1, add (add ((2^d)*binomial(2*d-2, d-1),
d=divisors(j)) *b(n-j), j=1..n)/n)
end:
a:= proc(n) option remember;
`if` (n<1, -1, -add (a(n-i) *b(i), i=1..n))
end:
seq (a(n), n=1..30); # Alois P. Heinz, Jan 27 2012
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CROSSREFS
| Cf. A025225, A141318.
Sequence in context: A013208 A094370 A066084 * A001289 A103045 A126464
Adjacent sequences: A141316 A141317 A141318 * A141320 A141321 A141322
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KEYWORD
| nonn
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AUTHOR
| Jean-Yves Thibon (jyt(AT)univ-mlv.fr), Jun 26 2008
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