|
Search: id:A084612
|
|
|
| A084612 |
|
Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1+x-2x^2)^n. |
|
+0
3
|
|
| 1, 1, 1, -2, 1, 2, -3, -4, 4, 1, 3, -3, -11, 6, 12, -8, 1, 4, -2, -20, 1, 40, -8, -32, 16, 1, 5, 0, -30, -15, 81, 30, -120, 0, 80, -32, 1, 6, 3, -40, -45, 126, 141, -252, -180, 320, 48, -192, 64, 1, 7, 7, -49, -91, 161, 357, -363, -714, 644, 728, -784, -224, 448, -128, 1, 8, 12, -56, -154, 168, 700, -328, -1791, 656, 2800
(list; table; graph; listen)
|
|
|
OFFSET
|
0,4
|
|
|
EXAMPLE
|
Rows:
{1},
{1,1,-2},
{1,2,-3,-4,4},
{1,3,-3,-11,6,12,-8},
{1,4,-2,-20,1,40,-8,-32,16},
{1,5,0,-30,-15,81,30,-120,0,80,-32},
{1,6,3,-40,-45,126,141,-252,-180,320,48,-192,64},
|
|
PROGRAM
|
(PARI) for(n=0, 12, for(k=0, 2*n, t=polcoeff((1+x-2*x^2)^n, k, x); print1(t", ")); print(" "))
|
|
CROSSREFS
|
Cf. A002426, A084600-A084611, A084613-A084615.
Sequence in context: A030330 A059261 A134967 this_sequence A030339 A030383 A031231
Adjacent sequences: A084609 A084610 A084611 this_sequence A084613 A084614 A084615
|
|
KEYWORD
|
sign,tabl
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Jun 01 2003
|
|
|
Search completed in 0.002 seconds
|
