|
Search: id:A124871
|
|
|
| A124871 |
|
Numerator of imaginary part of (2*omega)^(-n) where omega = (-1 + i*3)/ 2. |
|
+0
4
|
|
| 0, -3, 3, 9, -6, 3, 117, -249, -21, 1917, -237, -9111, 1287, 24963, -76443, 28071, 11067, -848643, -922077, 6087369, -184623, -27482877, 34867797, 67678791, -15126111, 145641597, 1064447283, -2857102551, -308141733, 19215780483, -6890111163
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
FORMULA
|
a(n) = numerator(Im(1/(-1 + i*3)^n) ). 1/(-1 + i*3)^n = A124869(n)/ A124870(n) + i*A124871(n)/A124872(n).
|
|
EXAMPLE
|
a(0) = 0 = numerator of Im((-1+3*i)^0) = 1/1 + 0*i.
a(1) = -3 = numerator of Im(1/(-1+3*i)) = -1/10 - i*3/10.
a(2) = 3 = numerator of Im((-1+3*i)^(-2)) = -2/25 + i*3/50.
a(3) = 9 = numerator of Im((-1+3*i)^(-3)) = 13/500 + i*9/500.
a(4) = -6 = numerator of Im((-1+3*i)^(-4)) = 7/2500 - i*6/625.
a(5) = 3 = numerator of Im((-1+3*i)^(-5)) = -79/25000 + i*3/25000.
a(6) = 117 = numerator of Im((-1+3*i)^(-6)) = 11/31250 + i*117/125000.
a(7) = -249 = numerator of Im((-1+3*i)^(-7)) = 307/1250000 - i*249/1250000.
a(8) = -21 = numerator of Im((-1+3*i)^(-8)) = -527/6250000 - i*21/390625.
|
|
CROSSREFS
|
Cf. A124869-A124872.
Sequence in context: A066572 A104195 A062131 this_sequence A165351 A156164 A065483
Adjacent sequences: A124868 A124869 A124870 this_sequence A124872 A124873 A124874
|
|
KEYWORD
|
easy,frac,sign
|
|
AUTHOR
|
Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 11 2006
|
|
EXTENSIONS
|
Removed square roots from definition and formula. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 02 2009
|
|
|
Search completed in 0.002 seconds
|
