|
Search: id:A117442
|
|
|
| A117442 |
|
Number triangle related to exp(x)/(cos(x)+sin(x)). |
|
+0 3
|
|
| 1, -1, 1, 3, -2, 1, -11, 9, -3, 1, 57, -44, 18, -4, 1, -361, 285, -110, 30, -5, 1, 2763, -2166, 855, -220, 45, -6, 1, -24611, 19341, -7581, 1995, -385, 63, -7, 1, 250737, -196888, 77364, -20216, 3990, -616, 84, -8, 1, -2873041, 2256633, -885996, 232092, -45486, 7182, -924, 108, -9, 1
(list; table; graph; listen)
|
|
|
OFFSET
|
0,4
|
|
|
FORMULA
|
Column k has e.g.f. (x^k/k!)/(cos(x)+sin(x))
|
|
EXAMPLE
|
Triangle begins
1,
-1, 1,
3, -2, 1,
-11, 9, -3, 1,
57, -44, 18, -4, 1,
-361, 285, -110, 30, -5, 1,
2763, -2166, 855, -220, 45, -6, 1,
-24611, 19341, -7581, 1995, -385, 63, -7, 1
|
|
MAPLE
|
Row sums are A117443. First column is (-1)^n*A001586(n). Inverse of A117440.
|
|
CROSSREFS
|
Sequence in context: A115080 A104219 A123513 this_sequence A118435 A115085 A110616
Adjacent sequences: A117439 A117440 A117441 this_sequence A117443 A117444 A117445
|
|
KEYWORD
|
easy,sign,tabl
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Mar 16 2006
|
|
|
Search completed in 0.002 seconds
|