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A131082
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Periodic sequence (15, 11, 5, 1, 1, 5, 11, 15).
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6
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15, 11, 5, 1, 1, 5, 11, 15, 15, 11, 5, 1, 1, 5, 11, 15, 15, 11, 5, 1, 1, 5, 11, 15, 15, 11, 5, 1, 1, 5, 11, 15, 15, 11, 5, 1, 1, 5, 11, 15, 15, 11, 5, 1, 1, 5, 11, 15, 15, 11, 5, 1, 1, 5, 11, 15, 15, 11, 5, 1, 1, 5, 11, 15, 15, 11, 5, 1, 1, 5, 11, 15, 15, 11, 5, 1, 1, 5, 11, 15, 15, 11, 5, 1
(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 A131074.
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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients, signature (1,0,0,-1,1).
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FORMULA
| a(1) = a(8) = 15, a(2) = a(7) = 11, a(3) = a(6) = 5, a(4) = a(5) = 1; for n > 8, a(n) = a(n-8).
G.f.: (15-4*x-6*x^2-4*x^3+15*x^4)/((1-x)*(1+x^4))
a(n)=(1/28)*{8*(n mod 8)-6*[(n+1) mod 8]-13*[(n+2) mod 8]-6*[(n+3) mod 8]+8*[(n+4) mod 8]+22*[(n+5) mod 8]+29*[(n+6) mod 8]+22*[(n+7) mod 8]}, 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)%8; print1(if(r==0||r==7, 15, if(r==1||r==6, 11, if(r==2||r==5, 5, 1))), ", "))}
(MAGMA) m:=84; [ [15, 11, 5, 1, 1, 5, 11, 15][(n-1) mod 8 + 1]: n in [1..m] ];
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CROSSREFS
| Cf. A131074, A131029.
Sequence in context: A013449 A013461 A013430 * A097953 A200522 A195533
Adjacent sequences: A131079 A131080 A131081 * A131083 A131084 A131085
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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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