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A260160
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a(n) = a(n-2) + a(n-6) - a(n-8) with n>8, the first eight terms are 0 except that for a(5) = a(7) = 1.
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3
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0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 3, 0, 3, 0, 3, 0, 4, 0, 4, 0, 4, 0, 5, 0, 5, 0, 5, 0, 6, 0, 6, 0, 6, 0, 7, 0, 7, 0, 7, 0, 8, 0, 8, 0, 8, 0, 9, 0, 9, 0, 9, 0, 10, 0, 10, 0, 10, 0, 11, 0, 11, 0, 11, 0, 12, 0, 12, 0, 12, 0, 13, 0, 13, 0, 13, 0, 14, 0, 14, 0, 14
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OFFSET
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1,11
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COMMENTS
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LINKS
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FORMULA
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G.f.: x^5/(1-x^2-x^6+x^8).
a(n) = A264041(n) - n*(n+1)/2, 0<n<=26 (conjectured for n>26).
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MAPLE
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with(numtheory): P:= proc(q) local n; for n from 0 to q do
print((1-(-1)^n)*floor(n/6+1/3)/2); od; end: P(100); # Paolo P. Lava, Nov 12 2015
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MATHEMATICA
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LinearRecurrence[{0, 1, 0, 0, 0, 1, 0, -1}, {0, 0, 0, 0, 1, 0, 1, 0}, 100]
Table[(1 - (-1)^n) (Floor[n/6 + 1/3]/2), {n, 1, 90}] (* Bruno Berselli, Nov 10 2015 *)
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PROG
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(PARI) concat(vector(4), Vec(x^5/(1-x^2-x^6+x^8) + O(x^100))) \\ Altug Alkan, Nov 10 2015
(Sage) [(1-(-1)^n)*floor(n/6+1/3)/2 for n in (1..90)] # Bruno Berselli, Nov 10 2015
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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