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A152889
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Periodic sequence [1,0,4,0,0] of period 5
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1
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1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0, 1, 0, 4, 0, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,0,1).
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FORMULA
| a(n+5) = a(n) with a(0) = 1, a(2) = a(3) = a(4) = 0 and a(2) = 4 ;
o.g;f (1+4z^2)/(1-z^5) ;
a(n) = 1-2/5*5^(1/2)*cos(2*n*Pi/5)+2/5*2^(1/2)*(5-5^(1/2))^(1/2)*sin(2*n*Pi/5)+2/5*5^(1/2)*cos(4*n*Pi/5)-2/5*2^(1/2)*(5+5^(1/2))^(1/2)*sin(4*n*Pi/5)
a(n)=(1/10)*{-(n mod 5)+[(n+2) mod 5]+9*[(n+2) mod 5]-7*[(n+3) mod 5]+3*[(n+4) mod 5]}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jan 09 2009]
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CROSSREFS
| A026048
Sequence in context: A096623 A171914 A200627 * A151905 A078669 A046783
Adjacent sequences: A152886 A152887 A152888 * A152890 A152891 A152892
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KEYWORD
| easy,nonn
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AUTHOR
| Richard Choulet (richardchoulet(AT)yahoo.fr), Dec 14 2008
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EXTENSIONS
| More terms from Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 29 2008
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