|
Search: id:A098612
|
|
|
| A098612 |
|
Sum of all matrix elements M(i,j) = (i^2)/(i+j) multiplied by (2*n)!/n!. |
|
+0
1
|
|
| 0, 1, 38, 1172, 37080, 1265640, 47157936, 1918916160, 84991075200, 4079108462400, 211158556963200, 11737075895677440, 697609321424870400, 44168292113326617600, 2968571902157455104000, 211131415096140736512000
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
a(n) = (2*n)!/n!*Sum[Sum[(i^2)/(i+j), {i, 1, n}], {j, 1, n}]
|
|
MATHEMATICA
|
Table[(2*n)!/n!*Sum[Sum[(i^2)/(i+j), {i, 1, n}], {j, 1, n}], {n, 0, 15}]
|
|
CROSSREFS
|
Adjacent sequences: A098609 A098610 A098611 this_sequence A098613 A098614 A098615
Sequence in context: A028224 A028218 A028199 this_sequence A137030 A027657 A078987
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Alexander Adamchuk (alex(AT)kolmogorov.com), Oct 26 2004
|
|
|
Search completed in 0.002 seconds
|
