A366519 - OEIS

A366519

Largest odd divisor of n which is <= sqrt(n).

1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 5, 1, 3, 1, 1, 5, 1, 1, 3, 1, 5, 3, 1, 1, 3, 5, 1, 3, 1, 1, 5, 1, 1, 3, 7, 5, 3, 1, 1, 3, 5, 7, 3, 1, 1, 5, 1, 1, 7, 1, 5, 3, 1, 1, 3, 7, 1, 3, 1, 1, 5, 1, 7, 3, 1, 5, 9, 1, 1, 7, 5, 1, 3, 1, 1, 9, 7, 1, 3, 1, 5, 3, 1, 7, 9, 5

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OFFSET

1,9

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..10000

MATHEMATICA

Table[Last[Select[Divisors[n], # <= Sqrt[n] && OddQ[#] &]], {n, 100}]

PROG

(PARI) a(n) = {my(m=1); fordiv(n/2^valuation(n, 2), d, if(d^2 <= n, m=max(m, d))); m} \\ Andrew Howroyd, Oct 11 2023

CROSSREFS

Cf. A000265, A033676, A093803, A366520.

Sequence in context: A109007 A132951 A366520 * A353517 A353487 A356308

Adjacent sequences: A366516 A366517 A366518 * A366520 A366521 A366522

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Oct 11 2023

STATUS

approved