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A034115
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Fractional part of square root of a(n) starts with 9: first term of runs.
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2
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35, 48, 63, 80, 99, 119, 142, 167, 194, 223, 253, 286, 321, 358, 397, 437, 480, 525, 572, 621, 671, 724, 779, 836, 895, 955, 1018, 1083, 1150, 1219, 1289, 1362, 1437, 1514, 1593, 1673, 1756, 1841, 1928, 2017, 2107, 2200, 2295, 2392, 2491, 2591, 2694
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OFFSET
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1,1
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COMMENTS
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Answer: A034115 has the starts of runs of consecutive values of A034105. That is, frac{sqrt[a(n)]} >= 0.9, but frac{sqrt[a(n)-1]} < 0.9. - Don Reble, Jul 17 2020
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LINKS
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FORMULA
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EXAMPLE
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358, 359 and 360 are a run of 3 numbers in A034105, so 358 is in this sequence, but 359 and 360 are not. - R. J. Mathar, Jul 21 2020
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MATHEMATICA
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Join[{35}, Select[Partition[Select[Range[3000], NumberDigit[Sqrt[#], -1] == 9&], 2, 1], (#[[2]]-#[[1]]!=1&)][[All, 2]]] (* or *) LinearRecurrence[{2, -1, 0, 0, 1, -2, 1}, {35, 48, 63, 80, 99, 119, 142}, 50] (* Harvey P. Dale, Aug 14 2021 *)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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