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A131078
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Periodic sequence (1, 1, 1, 1, 0, 0, 0, 0).
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10
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1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,0,0,-1,1).
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FORMULA
| a(1) = a(2) = a(3) = a(4) = 1, a(5) = a(6) = a(7) = a(8) = 0; for n > 8, a(n) = a(n-8).
G.f.: 1/((1-x)*(1+x^4)).
a(n)=1/56*{-6*(n mod 8)+[(n+1) mod 8]+[(n+2) mod 8]+[(n+3) mod 8]+8*[(n+4) mod 8]+[(n+5) mod 8]+[(n+6) mod 8]+[(n+7) mod 8]}, with n>=0. - Paolo P. Lava (paoloplava(AT)gmail.com), Jun 19 2007
a(n) = floor(((n+4) mod 8)/4). [From Gary Detlefs (gdetlefs(AT)aol.com), May 17 2011]
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PROG
| (PARI) {m=105; for(n=1, m, print1((n-1)%8<4, ", "))}
(MAGMA) m:=105; [ [1, 1, 1, 1, 0, 0, 0, 0][ (n-1) mod 8 + 1 ]: n in [1..m] ];
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CROSSREFS
| Cf. A131074, A000035,
Period 2*k: repeat k ones followed by k zeros: A000035(n+1) (k=1), A133872(n) (k=2), A088911 (k=3), A131078(n) (k=4), and A112713(n-1) (k=5).
Sequence in context: A127872 A129564 A025447 * A130657 A084846 A130093
Adjacent sequences: A131075 A131076 A131077 * A131079 A131080 A131081
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KEYWORD
| nonn,easy
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), following a suggestion of Paul Curtz (bpcrtz(AT)free.fr), Jun 14 2007
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