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A162401
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a(n) is the largest integer whose square, when represented in binary, is a substring within the binary representation of n.
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2
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1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 4, 2, 3, 3, 2, 1, 1, 1, 2, 5, 1, 1, 2, 1, 1, 1, 4, 4, 2, 2, 6, 3, 3, 3, 2, 3, 1, 1, 2, 1, 1, 1, 4, 7, 5, 5, 2, 1, 1, 1, 2, 5, 1, 1, 2, 1, 1, 1, 8, 4, 4, 4, 2, 2, 2, 2, 6, 6, 3, 3, 3, 3, 3, 3, 4, 9, 3, 3, 2, 1, 1, 1, 2, 5, 1, 1, 2, 1, 1, 1, 4, 4, 7, 7
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OFFSET
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1,4
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COMMENTS
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A162400(n) = A162401(n)^2.
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 1..16384 (first 10000 terms from Robert G. Wilson v)
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MATHEMATICA
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f[n_] := Block[{k = Floor@ Sqrt@ n, s = ToString@ FromDigits@ IntegerDigits[n, 2]}, While[ StringPosition[s, ToString@ FromDigits@ IntegerDigits[k^2, 2]] == {}, k-- ]; k]; Array[f, 105] (* Robert G. Wilson v, Jul 16 2009 *)
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CROSSREFS
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Cf. A162400.
Sequence in context: A071773 A308993 A000188 * A324924 A301314 A241898
Adjacent sequences: A162398 A162399 A162400 * A162402 A162403 A162404
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KEYWORD
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base,nonn,look
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AUTHOR
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Leroy Quet, Jul 02 2009
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EXTENSIONS
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a(16) correction and more terms from Robert G. Wilson v, Jul 16 2009
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STATUS
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approved
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