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A130778
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Periodic sequence with period 1 -1 -3 -3 -1 1 .
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0
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1, -1, -3, -3, -1, 1, 1, -1, -3, -3, -1, 1, 1, -1, -3, -3, -1, 1, 1, -1, -3, -3, -1, 1, 1, -1, -3, -3, -1, 1, 1, -1, -3, -3, -1, 1, 1, -1, -3, -3, -1, 1
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OFFSET
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0,3
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COMMENTS
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With offset 1, a(n) satisfies the interesting recurrence: a(n+1) = sum(binomial(n, k)*(-1)^k*a(k),k=1..n); see Mathematica code below. [From John M. Campbell, May 05 2012]
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LINKS
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Table of n, a(n) for n=0..41.
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FORMULA
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a(n)=-(1/15)*{(n mod 6)+6*[(n+1) mod 6]+6*[(n+2) mod 6]+[(n+3) mod 6]+4*[(n+4) mod 6]+4*[(n+5) mod 6]}, with n>=0. - Paolo P. Lava, Jul 18 2007
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MATHEMATICA
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Table1 = {1};
a[1] = 1;
n = 1;
While[n < 314,
a[n + 1] = Sum[Binomial[n, k]*(-1)^k*a[k], {k, 1, n}];
AppendTo[Table1, a[n + 1]]; n++];
Print[Table1] (* From John M. Campbell, May 05 2012 *)
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CROSSREFS
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Sequence in context: A186028 A225054 A059790 * A016554 A046533 A046532
Adjacent sequences: A130775 A130776 A130777 * A130779 A130780 A130781
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KEYWORD
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sign
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AUTHOR
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Paul Curtz, Jul 14 2007
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STATUS
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approved
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