|
Search: id:A141723
|
|
|
| A141723 |
|
A triangle of coefficients made from a multinomial: t(n,m)=Sum[(2*m)!/((2*n-m-k)!*m!*k!),{k,0,n}]. |
|
+0
1
|
|
| 1, 3, 4, 11, 28, 24, 42, 156, 225, 160, 163, 792, 1596, 1736, 1120, 638, 3820, 9855, 14400, 13230, 8064, 2510, 17832, 55968, 102520, 122265, 100584, 59136, 9908, 81368, 300482, 661024, 968968, 1005004, 765765, 439296, 39203, 365104, 1549320
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
FORMULA
|
t(n,m)=Sum[(2*m)!/((2*n-m-k)!*m!*k!),{k,0,n}].
|
|
EXAMPLE
|
{1},
{3, 4},
{11, 28, 24},
{42, 156, 225, 160},
{163, 792, 1596, 1736, 1120},
{638, 3820, 9855, 14400, 13230, 8064},
{2510, 17832, 55968, 102520, 122265, 100584, 59136},
{9908, 81368, 300482, 661024, 968968, 1005004, 765765, 439296},
|
|
MATHEMATICA
|
Table[Table[Sum[Multinomial[2*n - m - k, m, k], {k, 0, n}], {m, 0, n}], {n, 0, 11}]; Flatten[%]
|
|
CROSSREFS
|
Sequence in context: A077900 A041231 A042129 this_sequence A100845 A019169 A049979
Adjacent sequences: A141720 A141721 A141722 this_sequence A141724 A141725 A141726
|
|
KEYWORD
|
nonn,uned
|
|
AUTHOR
|
Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Sep 12 2008
|
|
|
Search completed in 0.002 seconds
|
