1,2

Lim. n-> Inf. a(n)/a(n-1) = (11 + Sqrt(13))/2.

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.

Index entries for sequences related to linear recurrences with constant coefficients

Tanya Khovanova, Recursive Sequences

J. J. O'Connor and E. F. Robertson, Pell's Equation

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

a(n) = [(11 + 3*Sqrt(13))^n - (11 - 3*Sqrt(13))^n] / [(2^n) * Sqrt(13)]

a(n)=11*a(n-1)-a(n-2)with a(1)=0 and a(2)=3. G.f.: 3x^2/(1-11x+x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 17 2008]

Sequence in context: A121515 A002277 A001507 this_sequence A077698 A080488 A082778

Adjacent sequences: A075832 A075833 A075834 this_sequence A075836 A075837 A075838

nonn

Gregory V. Richardson (omomom(AT)hotmail.com), Oct 14 2002