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A344420
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a(n) = floor(n/11).
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2
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8
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OFFSET
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0,23
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COMMENTS
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Terms agree with A064458 for all n < 121, but a(121) = 11 while A064458(121) = 12.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,0,1,-1).
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FORMULA
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a(n) = a(n-1) + a(n-11) - a(n-12) for n > 11.
G.f.: x^11/(x^12 - x^11 - x + 1). (End)
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MATHEMATICA
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Floor[Range[0, 100]/11]
CoefficientList[Series[x^11/(x^12-x^11-x+1), {x, 0, 100}], x] (* or *) LinearRecurrence[{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 100] (* Harvey P. Dale, Aug 03 2021 *)
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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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