A324548 Maximal value which A324543 attains among the divisors of n.

0, 1, 3, 3, 7, 3, 15, 4, 9, 7, 31, 3, 63, 15, 8, 16, 127, 9, 255, 7, 21, 31, 511, 8, 21, 63, 12, 27, 1023, 8, 2047, 16, 31, 127, 20, 20, 4095, 255, 78, 32, 8191, 21, 16383, 31, 9, 511, 32767, 16, 45, 21, 127, 63, 65535, 12, 53, 27, 270, 1023, 131071, 8, 262143, 2047, 21, 72, 63, 31, 524287, 127, 511, 20, 1048575, 20, 2097151, 4095, 21

Offset: 1

Author

Antti Karttunen, Mar 07 2019

Keywords

• nonn

Examples

			Divisors of 161051 are [1, 11, 121, 1331, 14641, 161051]. Applying A324543 to these gives the values [0, 31, 93, 124, 496, 248]. Of these 496 is the largest, thus a(161051) = 496.
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..4473

Crossrefs

Cf. A324543.

Programs

PARI

A324548(n) = vecmax(apply(A324543,divisors(n))); \\ Needs also code from A324543.

Formula

a(n) = Max_{d|n} A324543(d).

a(A000040(n)) = A000225(n).

a(A001248(n)) = A068156(n) = 3*(2^n - 1).