|
COMMENT
|
a(0)+1 = 2 is prime, a(1)+1 = 5 is prime, a(2)+1 = 13 is prime, a(3)+1 = 37 is prime, a(4)+1 = 101 is prime, a(10)+1 = 44101 is prime, a(11)+1 = 120293 is prime, a(27)+1 = 881317491629 is prime. - Jonathan Vos Post (jvospost3(AT)gmail.com), Apr 16 2005
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
B. Bollobas and O. Riordan, Percolation, Cambridge, 2006, see p. 15.
A. R. Conway et al., Algebraic techniques for enumerating self-avoiding walks ..., J. Phys A 26 (1993) 1519-1534.
S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 331-339.
M. E. Fisher and M. F. Sykes, Excluded-volume problem and the Ising model of ferromagnetism, Phys. Rev. 114 (1959), 45-58.
A. J. Guttmann, On the critical behavior of self-avoiding walks, J. Phys. A 20 (1987), 1839-1854.
A. J. Guttmann and A. R. Conway, Self-Avoiding Walks and Polygons, Annals of Combinatorics 5 (2001) 319-345.
B. J. Hiley and M. F. Sykes, Probability of initial ring closure in the restricted random-walk model of a macromolecule, J. Chem. Phys., 34 (1961), 1531-1537.
B. D. Hughes, Random Walks and Random Environments, Oxford 1995, vol. 1, p. 461.
G. Slade, Self-avoiding walks, Math. Intelligencer, 16 (No. 1, 1994), 29-35.
M. F. Sykes, Some counting theorems in the theory of the Ising problem and the excluded volume problem, J. Math. Phys., 2 (1961), 52-62.
M. F. Sykes et al., The asymptotic behavior of selfavoiding walks and returns on a lattice, J. Phys. A 5 (1972), 653-660.
|
