A387897 Decimal expansion of the connective constant of the square lattice.

2, 6, 3, 8, 1, 5, 8, 5, 3, 0, 3, 2, 7

Offset

1,1

References

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 5.10, p. 331.

Links

Table of n, a(n) for n=1..13.

Thomas Bloom, Problem 528, Erdős Problems.

Jesper Lykke Jacobsen, Christian R. Scullard, and Anthony J. Guttmann, On the growth constant for square-lattice self-avoiding walks, J. Phys. A: Math. Theor., 49 (2016), 494004; arXiv:1607.02984 [cond-mat.stat-mech], 2016.

Wikipedia, Connective constant.

Formula

Equals lim_{n->oo} A001411(n)^(1/n), or lim_{n->oo} A002931(n)^(1/(2*n)).

Example

2.638158530327...

Crossrefs

A156816 is an approximation.

Other connective constants: A179260, A249776.

Cf. A001411, A002931.

Sequence in context: A011447 A376468 A076041 * A156816 A021383 A296456

Adjacent sequences: A387894 A387895 A387896 * A387898 A387899 A387900

Keyword

nonn,cons,more

Author

Andrei Zabolotskii, Sep 11 2025

Status

approved