A181814 a(n)=smallest integer that, when divided by any integer from 1 to n, yields a member of A025487.

1, 2, 12, 24, 720, 720, 151200, 302400, 1814400, 1814400, 4191264000, 4191264000, 125863657920000, 125863657920000, 125863657920000, 251727315840000, 128509312009478400000, 128509312009478400000, 1246500488605217541696000000

Offset

1,2

Links

Table of n, a(n) for n=1..19.

Formula

If A003418(n) = Product p(i)^e(i), then a(n) = Product A002110(i)^e(i). I.e., a(n) = A108951(A003418(n)).

a(n) = A003418(n)*A181813(n).

Example

For integers k= 1 to 6, 720/k (720, 360, 240, 180, 144, 120) is always a member of A025487. 720 is the smallest integer with this property; therefore, a(6) = 720.

Crossrefs

All terms also belong to A181818.

Sequence in context: A211374 A126962 A002207 * A232248 A091137 A347284

Adjacent sequences: A181811 A181812 A181813 * A181815 A181816 A181817

Keyword

nonn

Author

Matthew Vandermast, Nov 30 2010

Status

approved