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Search: id:A131078
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A131078 Periodic sequence (1, 1, 1, 1, 0, 0, 0, 0). +0
6
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; listen)
OFFSET

1,1

COMMENT

First column of triangular array T defined in A131074.

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 (ppl(AT)spl.at), Jun 19 2007

PROGRAM

(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] ];

CROSSREFS

Cf. A131074, A088911.

Sequence in context: A127872 A129564 A025447 this_sequence A130657 A084846 A130093

Adjacent sequences: A131075 A131076 A131077 this_sequence A131079 A131080 A131081

KEYWORD

nonn

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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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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