|
| |
|
|
A101941
|
|
Peak-trough transform of the omega sequence (A001221).
|
|
1
| |
|
|
0, 0, 0, 0, 0, 3, 0, 0, 0, 1, -1, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 1, -1, 1, -1, 1, -1, 3, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, -1, 3, -1, 0, 0, 0, -1, 1, -1, 0, 0, 0, -3, 0, 0, 0, 0, 0, -1, 3, -1, 0, 0, -1, 0, 3, -1, 0, 0, 3, -1, 1, -1
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,6
|
|
|
COMMENTS
| I define the peak-trough transform b(n) of sequence a(n) as follows. If a(n) is greater than both of its immediate neighbors, b(n) is defined as the largest k such that a(n) is greater than its k nearest neighbors both before and after it in the sequence. (a(n) is said to be a k-peak of the sequence). If a(n) is smaller than both of its immediate neighbors, b(n) is defined as -k, where k is the largest k such that a(n) is smaller than its k nearest neighbors both before and after it in the sequence. (a(n) is said to be a k-trough of the sequence). Otherwise, a(n) is 0. (Note difference between a k-peak and a k-apex as defined by Joseph L. Pe in A076759).
|
|
|
CROSSREFS
| Cf. A001221, A101932.
Sequence in context: A069531 A035677 A143276 * A089313 A052998 A114516
Adjacent sequences: A101938 A101939 A101940 * A101942 A101943 A101944
|
|
|
KEYWORD
| sign
|
|
|
AUTHOR
| N. Fernandez (primeness(AT)borve.org), Dec 22 2004
|
| |
|
|
