|
Search: id:A093454
|
|
|
| A093454 |
|
Floor (( LCM of next n numbers )/n!). |
|
+0
1
|
|
| 1, 3, 10, 105, 500, 2261, 24667, 42028, 1230782, 20311562, 4439826, 359052299, 528351796, 6320864852, 54316890301, 272889671456, 59002964602937, 369404431595, 79683951358252, 35792935676910, 137309505871357313
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
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
|
|
EXAMPLE
|
a(6) = 500= 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}] (from Robert G. Wilson v Apr 30 2004)
|
|
CROSSREFS
|
Sequence in context: A083108 A117664 A091342 this_sequence A048531 A073306 A034945
Adjacent sequences: A093451 A093452 A093453 this_sequence A093455 A093456 A093457
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 03 2004
|
|
EXTENSIONS
|
Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 30 2004
|
|
|
Search completed in 0.002 seconds
|
