|
Search: id:A124740
|
|
|
| A124740 |
|
a(n) = product of those positive integers which are coprime to both n and n+1 and which are <= n. |
|
+0 6
|
|
| 1, 1, 1, 3, 1, 5, 15, 35, 7, 189, 35, 385, 1485, 143, 1001, 2027025, 5005, 85085, 459459, 46189, 20995, 1249937325, 1616615, 7436429, 324342711, 71504125, 132793375, 1452095555625, 7436429, 215656441, 6190283353629375, 75969882625
(list; graph; listen)
|
|
|
OFFSET
|
1,4
|
|
|
LINKS
|
Leroy Quet, Home Page (listed in lieu of email address)
|
|
EXAMPLE
|
The positive integers which are coprime to 8 and which are <= 8 are 1,3,5,7. The positive integers which are coprime to 9 and which are <= 9 are 1, 2,4,5,7,8. The integers in both these sequences (1,5,7) are multiplied to get a(8) = 35.
|
|
MATHEMATICA
|
f[n_] := Times @@ Select[Range[n], GCD[n, # ] == GCD[n + 1, # ] == 1 &]; Table[f[n], {n, 33}] (*Chandler*)
|
|
CROSSREFS
|
Cf. A057475, A124738, A124739, A124741.
Sequence in context: A091623 A059616 A125053 this_sequence A073597 A104053 A039512
Adjacent sequences: A124737 A124738 A124739 this_sequence A124741 A124742 A124743
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Leroy Quet Nov 06 2006
|
|
EXTENSIONS
|
Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 10 2006
|
|
|
Search completed in 0.002 seconds
|