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A055519
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a(n) = 9*a(n-1) + 33*a(n-2) - 76*a(n-3) - 33*a(n-4) + 9*a(n-5) + a(n-6), a(0)=a(1)=1, a(2)=2, a(3)=35, a(4)=312, a(5)=3779.
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3
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1, 1, 2, 35, 312, 3779, 41590, 474169, 5342808, 60450145, 682988978, 7720432691, 87256315920, 986227664411, 11146765278382, 125986353493225, 1423957841588232, 16094263592763889, 181905138292910570, 2055979904686591259, 23237679087969620328, 262643489044489470155
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = Sum_{k=1..n} Fibonacci(k)^5*a(n-k), a(0)=1. - Vladeta Jovovic, Apr 23 2003
G.f.: (x^2+x-1)*(x^2+11*x-1)*(x^2-4*x-1)/(x^6+9*x^5-33*x^4-76*x^3+33*x^2+9*x-1). - Alois P. Heinz, Oct 24 2021
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MATHEMATICA
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LinearRecurrence[{9, 33, -76, -33, 9, 1}, {1, 1, 2, 35, 312, 3779}, 20] (* Harvey P. Dale, Oct 20 2021 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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