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A139002 Weights of Connes-Moscovici Hopf subalgebra. +0
2
1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 4, 4, 3, 6, 1, 1, 6, 3, 4, 4, 1, 1, 3, 1, 5, 15, 5, 5, 10, 10, 10, 10, 15, 10, 1, 1, 10, 15, 10, 10, 10, 10, 5, 5, 15, 5, 1, 3, 1, 1, 4, 4, 3, 6, 1, 6, 36, 18, 24, 24, 6, 6, 18, 6, 15, 15, 45, 45, 15, 15, 15, 15, 10, 20, 60, 20, 10, 60, 20, 15, 45, 15, 1, 1 (list; graph; listen)
OFFSET

1,7

COMMENT

Gives multiplicity for tree shapes in "naturally grown" forests of rooted trees (from file for CM(t) referred to in Broadhurst).

LINKS

D. J. Broadhurst and D. Kreimer, Renormalization automated by Hopf algebra , (1998)

T. Copeland, A Walk in the Woods with Cayley and Comtet , (May 2008)

L. Foissy, Faa di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations , (2007)

E. Getzler, Lie theory for nilpotent L-infinity algebras , (2007) page 22 [From Tom Copeland (tcjpn(AT)msn.com), Mar 17 2009]

CROSSREFS

Sequence in context: A046929 A068695 A110787 this_sequence A139378 A038500 A091840

Adjacent sequences: A138999 A139000 A139001 this_sequence A139003 A139004 A139005

KEYWORD

nonn

AUTHOR

Tom Copeland (tcjpn(AT)msn.com), May 31 2008

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Last modified December 6 22:55 EST 2009. Contains 170429 sequences.


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