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A186025
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a(n) = 0^n + 1 - F(n-1)^2 - F(n)^2, where F = A000045.
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2
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1, 0, -1, -4, -12, -33, -88, -232, -609, -1596, -4180, -10945, -28656, -75024, -196417, -514228, -1346268, -3524577, -9227464, -24157816, -63245985, -165580140, -433494436, -1134903169, -2971215072, -7778742048, -20365011073, -53316291172, -139583862444
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text;
internal format)
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OFFSET
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0,4
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COMMENTS
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Row sums of number triangle A186024.
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LINKS
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FORMULA
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G.f.: (1-4x+3x^2-x^3)/(1-4x+4x^2-x^3) = (1-4x+3x^2-x^3)/((1-x)(1-3x+x^2)).
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MATHEMATICA
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Join[{1}, Table[0^n + 1 - Fibonacci[n - 1]^2 - Fibonacci[n]^2, {n, 30}]] (* Vincenzo Librandi, Apr 24 2015 *)
LinearRecurrence[{4, -4, 1}, {1, 0, -1, -4}, 30] (* Harvey P. Dale, Dec 16 2015 *)
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PROG
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(Magma) [0^n+1-Fibonacci(n-1)^2-Fibonacci(n)^2: n in [0..30]]; // Vincenzo Librandi, Apr 24 2015
(PARI) x='x+O('x^50); Vec((1-4*x+3*x^2-x^3)/(1-4*x+4*x^2-x^3)) \\ G. C. Greubel, Jul 24 2017
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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