|
Search: id:A125286
|
|
|
| A125286 |
|
a(0)=1. a(n) = a(n-1) + (the largest term among {a(0),a(1),...a(n-1)} that has the same number of positive divisors as n). |
|
+0
1
|
|
| 1, 2, 4, 6, 10, 12, 22, 24, 46, 50, 96, 98, 196, 198, 244, 290
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
a(16) does not exist because no earlier term has exactly 5 divisors. However, arbitrary modifications of the sequence's definition (such as letting a(n) = a(n-1) + 0 if no earlier term has the same number of divisors as n, or letting a(n) = a(n-1) + the largest earlier term with at most n divisors, etc) would allow the sequence to be infinite in length.
|
|
LINKS
|
Leroy Quet, Home Page (listed in lieu of email address)
|
|
EXAMPLE
|
9 has 3 divisors. So a(9) = a(8) + the largest earlier term with 3 divisors. a(3) = 4 is the only earlier term with 3 divisors, so a(9) = a(8) + 4 = 50.
|
|
CROSSREFS
|
Sequence in context: A133871 A068514 A074645 this_sequence A045963 A128169 A095923
Adjacent sequences: A125283 A125284 A125285 this_sequence A125287 A125288 A125289
|
|
KEYWORD
|
fini,full,nonn
|
|
AUTHOR
|
Leroy Quet Jan 26 2007
|
|
|
Search completed in 0.002 seconds
|
