|
| |
|
|
A152890
|
|
Periodic sequence [4,1,4,0,1] of period 5
|
|
2
| |
|
|
4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1, 4, 1, 4, 0, 1
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
FORMULA
| a(n+5) = a(n) with a(0) = a(2) = 4, a(1) = a(4) = 1 and a(3) = 0 ; o.g.f f(z) = ((4+z+4*z^2+z^4)/(1-z^5)) a(n) = 2+(-1/5*5^(1/2)+1)*cos(2*n*Pi/5)+(2/5*2^(1/2)*(5-5^(1/2))^(1/2))*sin(2*n*Pi/5)+(1/5*5^(1/2)+1)*cos(4*n*Pi/5)+(-2/5*2^(1/2)*(5+5^(1/2))^(1/2))*sin(4*n*Pi/5)
a(n)=(1/5)*{-2*(n mod 5)+5*[(n+2) mod 5]-2*[(n+3) mod 5]+4*[(n+4) mod 5]}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jan 09 2009]
|
|
|
CROSSREFS
| A026051
Sequence in context: A193793 A085471 A064221 * A143354 A171539 A106141
Adjacent sequences: A152887 A152888 A152889 * A152891 A152892 A152893
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Richard Choulet (richardchoulet(AT)yahoo.fr), Dec 14 2008
|
| |
|
|
