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A131029
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Periodic sequence (11, 5, 2, 5, 11, 14).
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10
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11, 5, 2, 5, 11, 14, 11, 5, 2, 5, 11, 14, 11, 5, 2, 5, 11, 14, 11, 5, 2, 5, 11, 14, 11, 5, 2, 5, 11, 14, 11, 5, 2, 5, 11, 14, 11, 5, 2, 5, 11, 14, 11, 5, 2, 5, 11, 14, 11, 5, 2, 5, 11, 14, 11, 5, 2, 5, 11, 14, 11, 5, 2, 5, 11, 14, 11, 5, 2, 5, 11, 14, 11, 5, 2, 5, 11, 14, 11, 5, 2, 5, 11, 14
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Fifth column of triangular array T defined in A131022.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (2,-2,1).
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FORMULA
| a(1) = a(5) = 11, a(2) = a(4) = 5, a(3) = 2, a(6) = 14; for n > 6, a(n) = a(n-6).
G.f.: (11-17*x+14*x^2)/((1-x)*(1-x+x^2)).
a(n)=1/30*{31*(n mod 6)+[(n+1) mod 6]-14*[(n+2) mod 6]+[(n+3) mod 6]+31*[(n+4) mod 6]+46*[(n+5) mod 6]}, with n>=0. - Paolo P. Lava (paoloplava(AT)gmail.com), Jun 19 2007
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PROG
| (PARI) {m=84; for(n=1, m, r=(n-1)%6; print1(if(r==0||r==4, 11, if(r==2, 2, if(r==5, 14, 5))), ", "))}
(MAGMA) m:=84; [ [11, 5, 2, 5, 11, 14][(n-1) mod 6 + 1]: n in [1..m] ];
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CROSSREFS
| Cf. A131022. Other columns of T are in A088911, A131026, A131027, A131028, A131030.
Sequence in context: A038318 A010186 A097531 * A033331 A085716 A127820
Adjacent sequences: A131026 A131027 A131028 * A131030 A131031 A131032
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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 10 2007
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