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A162401 a(n) is the largest integer whose square, when represented in binary, is a substring within the binary representation of n. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

A162400(n) = A162401(n)^2.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..16384 (first 10000 terms from Robert G. Wilson v)

MATHEMATICA

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 *)

CROSSREFS

Cf. A162400.

Sequence in context: A071773 A308993 A000188 * A324924 A301314 A241898

Adjacent sequences:  A162398 A162399 A162400 * A162402 A162403 A162404

KEYWORD

base,nonn,look

AUTHOR

Leroy Quet, Jul 02 2009

EXTENSIONS

a(16) correction and more terms from Robert G. Wilson v, Jul 16 2009

STATUS

approved

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Last modified April 16 07:59 EDT 2021. Contains 343030 sequences. (Running on oeis4.)