|
Search: id:A107415
|
|
|
| A107415 |
|
Triangle, read by rows: T(0,0) = 1; T(n,k) = n!*T(n-1,k) - T(n-1,k-1). |
|
+0
1
|
|
| 1, 1, -1, 2, -3, 1, 12, -20, 9, -1, 288, -492, 236, -33, 1, 34560, -59328, 28812, -4196, 153, -1, 24883200, -42750720, 20803968, -3049932, 114356, -873, 1, 125411328000, -215488512000, 104894749440, -15392461248, 579404172, -4514276, 5913, -1, 5056584744960000, -8688622215168000
(list; graph; listen)
|
|
|
OFFSET
|
0,4
|
|
|
COMMENT
|
For n>0, the row sums are 0. For n>1, sum(k=0..n) 2^k*T(n,k) = 0. The first subdiagonal (1,-3,9,-33,...) is an alternating signed version of A007489 (sum of k!, k=1..n). The first column is A000178 (superfactorials).
|
|
CROSSREFS
|
Sequence in context: A100223 A129969 A104379 this_sequence A079174 A102583 A030780
Adjacent sequences: A107412 A107413 A107414 this_sequence A107416 A107417 A107418
|
|
KEYWORD
|
easy,sign
|
|
AUTHOR
|
Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), May 26 2005
|
|
|
Search completed in 0.002 seconds
|
