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A206582
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The least number s having exactly n twos in the continued fraction of sqrt(s).
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4
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3, 2, 19, 45, 71, 153, 199, 589, 301, 989, 526, 1711, 739, 1633, 631, 3886, 1324, 4897, 2524, 7021, 2374, 4189, 2311, 10033, 3571, 3901, 2326, 8869, 4789, 10873, 6301, 10921, 6451, 11929, 6841, 12709, 7996, 13561, 7351, 19177, 9949, 16969, 12286, 22969, 11341
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OFFSET
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0,1
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LINKS
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Table of n, a(n) for n=0..44.
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MATHEMATICA
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nn = 50; zeros = nn; t = Table[0, {nn}]; k = 2; While[zeros > 0, If[! IntegerQ[Sqrt[k]], cnt = Count[ContinuedFraction[Sqrt[k]][[2]], 2]; If[cnt <= nn && t[[cnt]] == 0, t[[cnt]] = k; zeros--]]; k++]; Join[{3}, t]
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CROSSREFS
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Cf. A206578 (n ones), A206583 (n threes), A206584 (n fours), A206585 (n fives).
Sequence in context: A090587 A094554 A223881 * A154262 A154261 A098655
Adjacent sequences: A206579 A206580 A206581 * A206583 A206584 A206585
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KEYWORD
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nonn
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AUTHOR
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T. D. Noe, Mar 19 2012
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STATUS
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approved
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