A322757 Decimal expansion of G/(2*Pi), where G is Catalan's constant A006752.

1, 4, 5, 7, 8, 0, 4, 5, 2, 0, 1, 5, 4, 0, 9, 3, 9, 0, 0, 6, 9, 1, 9, 2, 2, 2, 8, 2, 3, 4, 1, 9, 7, 4, 5, 9, 4, 3, 2, 0, 3, 3, 0, 7, 6, 9, 9, 2, 9, 1, 8, 6, 3, 5, 1, 3, 0, 5, 0, 0, 7, 8, 4, 5, 5, 5, 8, 7, 3, 8, 1, 8, 4, 4, 0, 2, 1, 9, 4, 3, 0, 8, 6, 3, 3, 1, 3, 4, 1, 2, 1, 5, 1, 5, 6, 7, 0, 2, 9, 4, 5, 4, 4, 8, 6, 4

Offset

0,2

Comments

Per-site entropy of the dimer model on a square grid.

References

Miklos Bona, editor, Handbook of Enumerative Combinatorics, CRC Press, 2015, page 554.

Links

Table of n, a(n) for n=0..105.

Formula

Equals (1/2) * A143233. - Peter Bala, Aug 01 2025

Example

0.1457804520154093900691922282341974594320330769929186351305007845558738184...

Mathematica

RealDigits[Catalan/(2*Pi), 10, 120][[1]] (* Amiram Eldar, May 24 2023 *)

Crossrefs

Cf. A006752, A019692, A143233.

Sequence in context: A270037 A319132 A362624 * A010666 A196001 A257542

Adjacent sequences: A322754 A322755 A322756 * A322758 A322759 A322760

Keyword

nonn,cons

Author

N. J. A. Sloane, Dec 28 2018

Extensions

a(73), a(74) corrected by Georg Fischer, Sep 08 2025

Status

approved