|
| |
|
|
A140822
|
|
Triangle t(n,m) = binomial(n,gcd(n,m)) read by rows, 0<=m<=n.
|
|
0
| |
|
|
1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 5, 5, 5, 1, 1, 6, 15, 20, 15, 6, 1, 1, 7, 7, 7, 7, 7, 7, 1, 1, 8, 28, 8, 70, 8, 28, 8, 1, 1, 9, 9, 84, 9, 9, 84, 9, 9, 1, 1, 10, 45, 10, 45, 252, 45, 10, 45, 10, 1
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,5
|
|
|
COMMENTS
| Row sums are 1, 2, 4, 8, 16, 22, 64, 44, 160, 224, 474,...
|
|
|
FORMULA
| t(n,m) = A007318(n,A109004(n,m)).
|
|
|
EXAMPLE
| 1;
1, 1;
1, 2, 1;
1, 3, 3, 1;
1, 4, 6, 4, 1;
1, 5, 5, 5, 5, 1;
1, 6, 15, 20, 15, 6, 1;
1, 7, 7, 7, 7, 7, 7, 1;
1, 8, 28, 8, 70, 8, 28, 8, 1;
1, 9, 9, 84, 9, 9, 84, 9, 9, 1;
1, 10, 45, 10, 45, 252, 45, 10, 45, 10, 1;
|
|
|
MATHEMATICA
| a = Table[Table[Binomial[n, GCD[n, m]], {m, 0, n}], {n, 0, 10}]; Flatten[a]
|
|
|
CROSSREFS
| Sequence in context: A034930 A095142 A180171 * A089239 A061676 A180182
Adjacent sequences: A140819 A140820 A140821 * A140823 A140824 A140825
|
|
|
KEYWORD
| nonn,easy,tabl
|
|
|
AUTHOR
| Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Jul 16 2008
|
|
|
EXTENSIONS
| Offset corrected. - R. J. Mathar, Nov 07 2011
|
| |
|
|
