A178206 Decimal representation of asymptotic growth constant for the number of acyclic orientations on the two-dimensional Sierpinski gasket SG2(n) in the large n limit.

1, 1, 2, 7, 2, 9, 9, 0, 7, 0, 5, 3, 6, 6, 1, 6

Offset

1,3

Comments

Proposition III.1, p.10 of Chang. The paper also studies the number of acyclic orientations on the generalized two-dimensional Sierpinski gasket $SG_{2,b}(n)$ at stage $n$ with $b$ equal to two and three, and determines the asymptotic behaviors. It also derives upper bounds for the asymptotic growth constants for $SG_{2,b}$ and $d$-dimensional Sierpinski gasket $SG_d$.

Links

Table of n, a(n) for n=1..16.

Shu-Chiuan Chang, Acyclic orientations on the Sierpinski gasket, May 20, 2010.

Example

1.127299070536616....

Crossrefs

Cf. A007318, A054431, A001317, A008292, A083093, A034931, A034930, A008975, A034932, A047999.

Sequence in context: A215140 A278419 A197133 * A245976 A245216 A223149

Adjacent sequences: A178203 A178204 A178205 * A178207 A178208 A178209

Keyword

cons,nonn

Author

Jonathan Vos Post, May 22 2010

Status

approved