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A036408
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a(n) = ceiling(n^2/10).
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4
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0, 1, 1, 1, 2, 3, 4, 5, 7, 9, 10, 13, 15, 17, 20, 23, 26, 29, 33, 37, 40, 45, 49, 53, 58, 63, 68, 73, 79, 85, 90, 97, 103, 109, 116, 123, 130, 137, 145, 153, 160, 169, 177, 185, 194, 203, 212, 221, 231, 241, 250, 261, 271, 281, 292, 303, 314, 325
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OFFSET
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0,5
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (2, -1, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1).
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FORMULA
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a(n) = 2*a(n-1) - a(n-2) + a(n-10) - 2*a(n-11) + a(n-12).
G.f.: -x*(1 - x + x^7 - x^9 + x^10 + x^3) / ( (1+x)*(x^4 + x^3 + x^2 + x + 1)*(x^4 - x^3 + x^2 - x + 1)*(x-1)^3 ). (End)
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EXAMPLE
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a(6) = ceiling(6^2/10) = ceiling(3.6) = 4.
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MAPLE
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MATHEMATICA
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LinearRecurrence[{2, -1, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1}, {0, 1, 1, 1, 2, 3, 4, 5, 7, 9, 10, 13}, 60] (* Harvey P. Dale, Sep 27 2016 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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