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A135034
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Positive integers n repeated 2n-1 times, with a leading a(0) = 0. Also: ceiling of square root of n.
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2
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0, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9
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OFFSET
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0,3
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LINKS
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Harvey P. Dale, Table of n, a(n) for n = 0..1000
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FORMULA
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a(n) = ceiling(sqrt(n)).
a(n) = A003059(n), for n >= 1. - R. J. Mathar, Jun 18 2008
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EXAMPLE
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a(1) = ceiling(sqrt(1)) = 1
a(6) = ceiling(sqrt(6)) = 3
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MATHEMATICA
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Table[Ceiling[Sqrt[n]], {n, 0, 100}] (* Mohammad K. Azarian, Jun 15 2016 *)
Table[PadRight[{}, 2n-1, n], {n, 0, 10}]//Flatten (* Harvey P. Dale, May 15 2022 *)
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PROG
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(PARI) A135034(n)=ceil(sqrt(n)) \\ M. F. Hasler, Nov 12 2017
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CROSSREFS
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Cf. A005408, A003059 (restriction to positive indices), A000194 (round(sqrt(n))), A000196 (floor(sqrt(n))).
Sequence in context: A186189 A083375 A088519 * A003059 A325678 A247189
Adjacent sequences: A135031 A135032 A135033 * A135035 A135036 A135037
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KEYWORD
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easy,nonn
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AUTHOR
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William A. Tedeschi, Feb 10 2008
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EXTENSIONS
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Edited and corrected by M. F. Hasler, Nov 12 2017
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STATUS
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approved
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