|
| |
|
|
A117435
|
|
Triangle related to exp(x)cos(2x).
|
|
2
| |
|
|
1, 0, 1, -4, 0, 1, 0, -12, 0, 1, 16, 0, -24, 0, 1, 0, 80, 0, -40, 0, 1, -64, 0, 240, 0, -60, 0, 1, 0, -448, 0, 560, 0, -84, 0, 1, 256, 0, -1792, 0, 1120, 0, -112, 0, 1, 0, 2304, 0, -5376, 0, 2016, 0, -144, 0, 1, -1024, 0, 11520, 0, -13440, 0, 3360, 0, -180, 0, 1
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,4
|
|
|
COMMENTS
| Row sums are A006495 (with e.g.f. exp(x)cos(2x)). Inverse is A117436. Diagonal sums are (1,0,-3,0,5,0,-7,...). Diagonals correspond to rows of A117438.
|
|
|
FORMULA
| Number triangle whose k-th column has e.g.f. (x^k/k!)*cos(2x); T(n,k)=C(n,k)*(-4)^((n-k)/2)*(1+(-1)^(n-k))/2.
|
|
|
EXAMPLE
| Triangle begins
1,
0, 1,
-4, 0, 1,
0, -12, 0, 1,
16, 0, -24, 0, 1,
0, 80, 0, -40, 0, 1,
-64, 0, 240, 0, -60, 0, 1
|
|
|
CROSSREFS
| Cf. A117411.
Sequence in context: A147312 A019974 A046781 * A117436 A166318 A166317
Adjacent sequences: A117432 A117433 A117434 * A117436 A117437 A117438
|
|
|
KEYWORD
| easy,sign,tabl
|
|
|
AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 16 2006
|
| |
|
|
