A181817 a(n) is the smallest integer that, when divided by any divisor of A025487(n), yields a member of A025487.

1, 2, 4, 12, 8, 24, 16, 48, 360, 32, 144, 96, 720, 64, 288, 192, 1440, 128, 576, 4320, 384, 75600, 1728, 2880, 256, 1152, 8640, 768, 151200, 3456, 5760, 512, 2304, 17280, 1536, 302400, 6912, 129600, 11520, 1024, 51840, 4608, 907200, 20736, 34560, 3072, 604800, 13824, 259200, 23040, 2048

Offset

1,2

Comments

A permutation of A181818.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Formula

If A025487(n) = Product prime(i)^e(i), then a(n) = Product A002110(i)^e(i). I.e., a(n) = A108951(A025487(n)).

If A025487(n) = Product A002110(i)^e(i), then a(n) = Product A006939(i)^e(i).

a(n) = A025487(n) * A181816(n).

Example

For any divisor d of 6 (d = 1, 2, 3, 6), 12/d (12, 6, 4, 2) is always a member of A025487. 12 is the smallest number with this relationship to 6; therefore, since 6 = A025487(4), a(4) = 12.

Crossrefs

Cf. A025487, A108951, A181816, A181818.

Sequence in context: A186118 A352993 A363250 * A362227 A000348 A168342

Adjacent sequences: A181814 A181815 A181816 * A181818 A181819 A181820

Keyword

nonn

Author

Matthew Vandermast, Nov 30 2010

Status

approved