

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.


9



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
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OFFSET

1,2


REFERENCES

S. R. Finch, Mathematical Constants, Cambridge, 2003, p. 232.


LINKS



FORMULA



EXAMPLE

1.791622812069593424730547089...


MAPLE

evalf(exp(2*Catalan/Pi));


MATHEMATICA

RealDigits[Exp[(2*Catalan)/Pi], 10, 120][[1]] (* Harvey P. Dale, Jul 17 2011 *)


PROG

(Magma) R:=RealField(100); Exp(2*Catalan(R)/Pi(R)); // G. C. Greubel, Aug 23 2018


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



