A206583 The least number s having exactly n threes in the continued fraction of sqrt(s).

2, 11, 28, 335, 69, 1507, 268, 1963, 589, 7675, 1318, 2899, 1549, 11575, 1789, 17371, 3331, 22459, 3319, 23791, 6211, 18019, 6379, 63379, 6694, 17131, 9199, 75331, 10189, 49471, 10429, 75091, 16069, 105991, 17509, 114559, 14221, 152707, 25141, 159031, 20959

Offset: 0

Author

T. D. Noe, Mar 19 2012

Keywords

• nonn

Crossrefs

Cf. A206578 (n ones), A206582 (n twos), A206584 (n fours), A206585 (n fives).

Programs

Mathematica

nn = 50; zeros = nn; t = Table[0, {nn}]; k = 2; While[zeros > 0, If[! IntegerQ[Sqrt[k]], cnt = Count[ContinuedFraction[Sqrt[k]][[2]], 3]; If[cnt <= nn && t[[cnt]] == 0, t[[cnt]] = k; zeros--]]; k++]; Join[{2}, t]