|
| |
|
|
A130834
|
|
Decimal expansion of the limit of the (2/n^2)th power of the number of distinct dimer coverings on the n X n square grid, n even, as n goes to infinity.
|
|
1
| |
|
|
1, 7, 9, 1, 6, 2, 2, 8, 1, 2, 0, 6, 9, 5, 9, 3, 4, 2, 4, 7, 3, 0, 5, 4, 7, 0, 8, 9, 3, 4, 2, 9, 8, 2, 4, 3, 2, 2, 6, 8, 1, 3, 4, 3, 9, 3, 1, 3, 2, 9, 5, 4, 7, 6, 7, 7, 6, 7, 5, 8, 3, 4, 7, 6, 4, 9, 9, 4, 2, 5, 0, 7, 4, 2, 3, 7, 6, 5, 7, 8, 9, 6, 0, 1, 3, 2, 2, 6
(list; constant; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
LINKS
| Nathaniel Johnston, Table of n, a(n) for n = 1..10000
S. R. Finch, Several Constants Arising in Statistical Mechanics, Annals Combinat. vol 3 (1999) issue (2-4) pp. 323-335.
|
|
|
FORMULA
| Equals exp(2*A006752/A000796).
|
|
|
EXAMPLE
| 1.791622812069593424730547089...
|
|
|
MAPLE
| evalf(exp(2*Catalan/Pi));
|
|
|
MATHEMATICA
| RealDigits[Exp[(2*Catalan)/Pi], 10, 120][[1]] (* From Harvey P. Dale, Jul 17 2011 *)
|
|
|
CROSSREFS
| Sequence in context: A175638 A091900 A086318 * A132806 A016629 A154203
Adjacent sequences: A130831 A130832 A130833 * A130835 A130836 A130837
|
|
|
KEYWORD
| cons,nonn
|
|
|
AUTHOR
| R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 18 2007
|
| |
|
|
