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A091648 Decimal expansion of ArcCosh[sqrt(2)], the inflection point of Sech[x]. +0
4
8, 8, 1, 3, 7, 3, 5, 8, 7, 0, 1, 9, 5, 4, 3, 0, 2, 5, 2, 3, 2, 6, 0, 9, 3, 2, 4, 9, 7, 9, 7, 9, 2, 3, 0, 9, 0, 2, 8, 1, 6, 0, 3, 2, 8, 2, 6, 1, 6, 3, 5, 4, 1, 0, 7, 5, 3, 2, 9, 5, 6, 0, 8, 6, 5, 3, 3, 7, 7, 1, 8, 4, 2, 2, 2, 0, 2, 6, 0, 8, 7, 8, 3, 3, 7, 0, 6, 8, 9, 1, 9, 1, 0, 2, 5, 6, 0, 4, 2, 8, 5, 6 (list; cons; graph; listen)
OFFSET

0,1

COMMENT

Asymptotic growth constant in the exponent for the number of spanning trees on the 2 X infinity strip on the square lattice. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 14 2006

LINKS

Eric Weisstein's World of Mathematics, Hyperbolic Secant

Eric Weisstein's World of Mathematics, Universal Parabolic Constant

R. Shrock and F. Y. Wu, Spanning trees on graphs and lattices in d dimensions, J Phys A: Math Gen 33 (2000) 3881-3902

FORMULA

ln(1 + sqrt(2)) - Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Mar 15 2005

(1/2)*ln(3+2*sqrt(2)) - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 14 2006

EXAMPLE

0.88137358...

CROSSREFS

Cf. A103710, A103711, A103712.

Sequence in context: A056194 A110940 A141134 this_sequence A135707 A021923 A065465

Adjacent sequences: A091645 A091646 A091647 this_sequence A091649 A091650 A091651

KEYWORD

nonn,cons,easy

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Jan 24, 2004

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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