|
Search: id:A064190
|
|
|
| A064190 |
|
Triangle T(n,k) generalizing the tangent numbers. |
|
+0
3
|
|
| 1, 2, 6, 16, 48, 72, 272, 816, 1440, 1440, 7936, 23808, 44352, 57600, 43200, 353792, 1061376, 2027520, 2903040, 3024000, 1814400, 22368256, 67104768, 129964032, 195379200, 232243200, 203212800, 101606400, 1903757312, 5711271936
(list; table; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
LINKS
|
J. L. Arregui, Tangent and Bernoulli numbers related to Motzkin and Catalan numbers by means of numerical triangles.
|
|
FORMULA
|
T(n+1, m) = m*(m+1)*Sum_{k = m-1, n} T(n, k)
|
|
EXAMPLE
|
1; 2,6; 16,48,72; 272,816,1440,1440; ...
|
|
CROSSREFS
|
First column gives A000182.
If m*(m+1) is replaced in the formula by m*m, the first column is the sequence of secant numbers A000364. - Jose L. Arregui (arregui(AT)posta.unizar.es), Oct 09 2001
Sequence in context: A071726 A148443 A148444 this_sequence A151281 A045694 A129772
Adjacent sequences: A064187 A064188 A064189 this_sequence A064191 A064192 A064193
|
|
KEYWORD
|
nonn,tabl,easy,nice
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Sep 21 2001
|
|
EXTENSIONS
|
More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 22 2001
|
|
|
Search completed in 0.004 seconds
|
