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 A111032 Non-Fibonacci Markoff numbers. 0
 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 (list; graph; refs; listen; history; text; internal format)
 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 AUTHOR Robert G. Wilson v, Oct 04 2005 STATUS approved

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Last modified October 4 07:36 EDT 2023. Contains 365873 sequences. (Running on oeis4.)