A181813 a(n)=smallest integer that, upon multiplying any integer from 1 to n, produces a member of A025487.

1, 1, 2, 2, 12, 12, 360, 360, 720, 720, 151200, 151200, 349272000, 349272000, 349272000, 349272000, 10488638160000, 10488638160000, 5354554667061600000, 5354554667061600000, 5354554667061600000, 5354554667061600000

Offset

1,3

Links

Table of n, a(n) for n=1..22.

Formula

If A003418(n) = Product p(i)^e(i), then a(n) = Product A002110(i-1)^e(i). I.e., a(n) = A181811(A003418(n)).

a(n) = A181814(n)/A003418(n).

Example

For integers k = 1 to 6, 12k (12, 24, 36, 48, 60, 72) is always a member of A025487. 12 is the smallest integer with this property; therefore, a(6) = 12.

Crossrefs

All terms belong to A181818.

Sequence in context: A092144 A224497 A305753 * A059187 A350329 A265458

Adjacent sequences: A181810 A181811 A181812 * A181814 A181815 A181816

Keyword

nonn

Author

Matthew Vandermast, Nov 30 2010

Status

approved