A296299 Dimension of the n-th component of a certain graded Lie algebra.

2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2

Offset

1,1

Comments

Conjecture: Let b = 122112112221... be the sequence (a(n+1)), written as a word. Let mu be the morphism given by mu(1)=121, mu(2)=12221. Then b = 1221 mu(b). - Michel Dekking, Sep 29 2020

Links

Table of n, a(n) for n=1..87.

Jean-Paul Allouche and Victor Petrogradsky, A conjecture of Dekking on the dimensions of the lower central series factors of a certain just infinite Lie algebra, J. Algebra (2023) Vol. 639, 708-719.

Otto Augusto de Morais Costa and Victor Petrogradsky, Fractal just infinite nil Lie superalgebra of finite width, arXiv:1707.06614 [math.RA], 2017, p. 21, Remark 3.

Crossrefs

Sequence in context: A358401 A085028 A087888 * A109494 A074292 A156257

Adjacent sequences: A296296 A296297 A296298 * A296300 A296301 A296302

Keyword

nonn

Author

Eric M. Schmidt, Dec 09 2017

Status

approved