|
Search: id:A118144
|
|
|
| A118144 |
|
Numbers of prime factors of l, where l is defined in A118534. |
|
+0 2
|
|
| 0, 0, 1, 0, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 1, 1, 2, 2, 3, 2, 1, 3, 2, 4, 2, 3, 3, 3, 3, 3, 2, 3, 4, 2, 3, 2, 1, 2, 2, 1, 2, 3, 4, 4, 3, 2, 1, 2, 4, 4, 1, 2
(list; graph; listen)
|
|
|
OFFSET
|
1,5
|
|
|
COMMENT
|
a(n) = 0 only for n = 1, 2 and 4.
|
|
LINKS
|
Remi Eismann, Table of n, a(n) for n = 1..10000
|
|
FORMULA
|
a(n) = numbers of factors of l, largest l such that prime(n+1) = prime(n) + (prime(n) mod l), or 0 if no such l exists.
|
|
EXAMPLE
|
For a(1), l=0 thus a(1)=0,
for a(3), l=3 thus a(3)=1,
for a(8), l=15=3*5 thus a(8)=2,
for a(24), l=81=3*3*3*3 thus a(24)=4.
|
|
CROSSREFS
|
Cf. A118534, A117563, A118123, A117078.
Sequence in context: A052435 A094701 A054715 this_sequence A136691 A064741 A114294
Adjacent sequences: A118141 A118142 A118143 this_sequence A118145 A118146 A118147
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Remi Eismann & Fabien Sibenaler (reismann(AT)free.fr), May 14 2006, Feb 14 2008
|
|
|
Search completed in 0.002 seconds
|