OFFSET
1,1
COMMENTS
Analytic Combinatorics (Flajolet and Sedgewick, 2009, p. 662) has a wrong value of this constant (2.309138593331230...).
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.19 (Klarner's polyomino constant), p. 380.
LINKS
E. A. Bender, Convex n-ominoes, Discrete Math., 8 (1974), 219-226.
P. Flajolet and R. Sedgewick, Analytic Combinatorics, 2009, p. 662.
D. A. Klarner and R. L. Rivest, Asymptotic bounds for the number of convex n-ominoes, Discrete Math., 8 (1974), 31-40.
FORMULA
EXAMPLE
2.309138593330494731098720305017212531911814472581628401694402900284456440748...
MATHEMATICA
1/z/.FindRoot[Sum[(-1)^n * z^(n*(n+1)/2) / QPochhammer[z, z, n]^2, {n, 0, 1000}], {z, 2/5}, WorkingPrecision -> 120]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Sep 27 2016
STATUS
approved