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A097469 Decimal expansion of growth constant C for dimer model on square grid. 0
1, 3, 3, 8, 5, 1, 5, 1, 5, 1, 9, 7, 6, 1, 5, 0, 0, 2, 4, 6, 5, 7, 3, 9, 0, 4, 7, 0, 3, 1, 7, 3, 0, 3, 7, 8, 6, 1, 8, 0, 8, 1, 0, 9, 3, 0, 8, 6, 5, 2, 3, 9, 6, 3, 4, 3, 5, 7, 6, 3, 2, 0, 6, 0, 5, 2, 7, 6, 9, 7, 6, 2, 9, 7, 3, 2, 1, 4, 4, 9, 1, 3, 8, 9, 1, 9, 3, 8, 5, 8, 0, 7, 9, 4, 9 (list; constant; graph; refs; listen; history; internal format)
OFFSET

1,2

REFERENCES

P. W. Kasteleyn, The statistics of dimers on a lattice. I: The number of dimer arrangements on a quadratic lattice, Physica 27 (1961) 1209-1225.

LINKS

J. Propp, Enumeration of matchings: problems and progress, in New Perspectives in Algebraic Combinatorics

F. Ardila and R. P. Stanley, Tilings

FORMULA

e^(G/pi), with G = A006752 (Catalan's constant).

EXAMPLE

1.33851515197615...

CROSSREFS

Cf. A038758, A054344.

Sequence in context: A143615 A016606 A069462 * A105342 A021751 A199624

Adjacent sequences:  A097466 A097467 A097468 * A097470 A097471 A097472

KEYWORD

cons,nonn

AUTHOR

Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 18 2004

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Last modified February 16 07:39 EST 2012. Contains 205881 sequences.