A093454 a(n) = floor((LCM of next n numbers)/n!).

1, 3, 10, 105, 500, 2261, 24667, 42028, 1230782, 20311562, 4439826, 359052299, 528351796, 6320864852, 54316890301, 272889671456, 59002964602937, 369404431595, 79683951358252, 35792935676910, 137309505871357313

Offset

1,2

Comments

Conjecture: There are finitely many numbers of the form {LCM of next n numbers}/n! which are not integers.

In the first three thousand terms, I found only five which are integers: 1, 2, 3, 4, 6. - Robert G. Wilson v

Links

Table of n, a(n) for n=1..21.

Example

a(6) = floor(LCM(16,17,18,19,20,21)/6!) = floor(500.5) = 500.

Mathematica

f[n_] := Floor[LCM @@ Drop[Range[n(n + 1)/2], n(n - 1)/2]/n! ]; Table[ f[n], {n, 21}] (* Robert G. Wilson v, Apr 30 2004 *)

Crossrefs

Sequence in context: A083108 A117664 A091342 * A048531 A073306 A290557

Adjacent sequences: A093451 A093452 A093453 * A093455 A093456 A093457

Keyword

nonn

Author

Amarnath Murthy, Apr 03 2004

Extensions

Edited by Robert G. Wilson v, Apr 30 2004

Status

approved