|
Search: id:A094406
|
|
|
| A094406 |
|
Smallest unhappy number that takes n steps to reach any of the unhappy cycle (4, 16, 37, 58, 89, 145, 42, 20) under iteration of sum of squares of digits map. |
|
+0 1
|
|
| 4, 2, 11, 15, 5, 3, 14, 45, 36, 6, 112, 269, 15999
(list; graph; listen)
|
|
|
OFFSET
|
4,1
|
|
|
COMMENT
|
This sequence is an analogue of sequence A001273 with the unhappy numbers instead of the happy numbers.
|
|
LINKS
|
W. Schneider, Unhappy Numbers.
|
|
EXAMPLE
|
15 is the fourth term because: 15: 1^2 + 5^2 = 26 / 26: 2^2 + 6^2 = 40 / 40: 4^2 + 0^2 = 16 and 16 is a member of the unhappy number series (4, 16, 37, 58, 89, 145, 42, 20)
|
|
CROSSREFS
|
Cf. A001273.
Sequence in context: A128781 A135440 A091484 this_sequence A092952 A010318 A137447
Adjacent sequences: A094403 A094404 A094405 this_sequence A094407 A094408 A094409
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Sergio Pimentel (ferdiego(AT)cox-internet.com), Apr 30 2004
|
|
EXTENSIONS
|
The next term, 577999999999....999999999999 (199 digits) is too large to include.
|
|
|
Search completed in 0.002 seconds
|