A111032 Non-Fibonacci Markoff numbers.

29, 169, 194, 433, 985, 1325, 2897, 5741, 6466, 7561, 9077, 14701, 33461, 37666, 43261, 51641, 62210, 96557, 135137, 195025, 294685, 426389, 499393, 646018, 925765, 1136689, 1278818, 1441889, 1686049, 2012674, 2423525, 2922509, 3276509

Offset

1,1

Comments

Complement(A002559, A000045)

Links

Table of n, a(n) for n=1..33.

Anitha Srinivasan, The Markoff-Fibonacci Numbers, Fibonacci Quart. 58 (2020), no. 5, 222-228.

Mathematica

m = {1}; Do[x = m[[i]]; y = m[[j]]; a = (3*x*y + Sqrt[ -4*x^2 - 4*y^2 + 9*x^2*y^2])/2; b = (3*x*y + Sqrt[ -4*x^2 - 4*y^2 + 9*x^2*y^2])/2; If[ IntegerQ[a], m = Union[ Join[m, {a}]]]; If[ IntegerQ[b], m = Union[ Join[m, {b}]]], {n, 8}, {i, Length[m]}, {j, i}]; Complement[ Take[m, 50], Fibonacci /@ Range[38]]

Crossrefs

Cf. A000045, A002559.

Sequence in context: A264252 A264530 A141910 * A238599 A033219 A142407

Adjacent sequences: A111029 A111030 A111031 * A111033 A111034 A111035

Keyword

nonn,changed

Author

Robert G. Wilson v, Oct 04 2005

Status

approved