|
Search: id:A143122
|
|
|
| A143122 |
|
Triangle read by rows, T(n,k) = sum {j=k..n} j!, 0<=k<=n. |
|
+0
2
|
|
| 1, 2, 1, 4, 3, 2, 10, 9, 8, 6, 34, 33, 32, 30, 154, 153, 152, 150, 144, 120, 874, 873, 872, 870, 864, 840, 720, 5914, 5913, 5912, 5910, 5904, 5880, 5760, 5040, 46234, 46233, 46232, 46230, 46224, 46200, 46080, 45360, 40320
(list; table; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Left column = A003422 starting (1, 2, 4, 10, 34,...).
Row sums = A007489 starting (1, 3, 9, 33, 153,...).
|
|
FORMULA
|
Triangle read by rows, T(n,k) = sum {j=k..n} j!, 0<=k<=n. A000012 * (A000142 * 0^(n-k)) * A000012, where A000142 = (1, 1, 2, 6,...).
|
|
EXAMPLE
|
First few rows of the triangle are:
1;
2, 1;
4, 3, 2;
10, 9, 8, 6;
34, 33, 32, 30, 24;
...
T(4,2) = 32 = 4! + 3! + 2! = (24 + 6 + 2).
|
|
CROSSREFS
|
Cf. A000142, A003422, A007489.
Sequence in context: A126136 A140169 A124731 this_sequence A093067 A098122 A159931
Adjacent sequences: A143119 A143120 A143121 this_sequence A143123 A143124 A143125
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), Jul 26 2008
|
|
|
Search completed in 0.002 seconds
|
