|
|
REFERENCES
| A. H. Beiler, "The Pellian", ch. 22 in Recreations in the Theory of Numbers: The Queen of Mathematics Entertains. Dover, New York, New York, pp. 248-268, 1966.
L. E. Dickson, History of the Theory of Numbers, Vol. II, Diophantine Analysis. AMS Chelsea Publishing, Providence, Rhode Island, 1999, p. 341-400.
Peter G. L. Dirichlet, Lectures on Number Theory (History of Mathematics Source Series, V. 16); American Mathematical Society, Providence, Rhode Island, 1999, p. 139-147.
|
|
|
FORMULA
| a(n) = ((10+3*Sqrt(11))^n - (10-3*Sqrt(11))^n) / Sqrt(11).
a(n) = 20*a(n-1) - a(n-2).
G.f.: 6*x / (1 - 20*x + x^2).
a(n) = 6*A075843(n). - R. J. Mathar, Jul 03 2011
a(n) = (1/3)*(A075839(n+1)-A075839(n)).
|