|
|
A093412
|
|
Triangle read by rows: a(n, k) is the numerator of (n + (n-1) + ... + (n-k+1))/(1 + 2 + ... + k), 0 < k <= n.
|
|
8
|
|
|
1, 2, 1, 3, 5, 1, 4, 7, 3, 1, 5, 3, 2, 7, 1, 6, 11, 5, 9, 4, 1, 7, 13, 3, 11, 5, 9, 1, 8, 5, 7, 13, 2, 11, 5, 1, 9, 17, 4, 3, 7, 13, 3, 11, 1, 10, 19, 9, 17, 8, 15, 7, 13, 6, 1, 11, 7, 5, 19, 3, 17, 2, 5, 7, 13, 1, 12, 23, 11, 21, 10, 19, 9, 17, 8, 15, 7, 1, 13, 25, 6, 23, 11, 3, 5, 19, 9, 17, 4
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
A093415 gives the corresponding denominators.
|
|
LINKS
|
|
|
FORMULA
|
a(n, k) = (2n+1-k)/gcd(2n+1-k, k+1).
|
|
EXAMPLE
|
Triangle a(n,k) (with rows n >= 1 and columns k >= 1) begins as follows:
1;
2, 1;
3, 5, 1;
4, 7, 3, 1;
5, 3, 2, 7, 1;
6, 11, 5, 9, 4, 1;
7, 13, 3, 11, 5, 9, 1;
8, 5, 7, 13, 2, 11, 5, 1;
9, 17, 4, 3, 7, 13, 3, 11, 1;
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|