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A179018
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Partial sums of ceiling(Fibonacci(n)/2).
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0
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0, 1, 2, 3, 5, 8, 12, 19, 30, 47, 75, 120, 192, 309, 498, 803, 1297, 2096, 3388, 5479, 8862, 14335, 23191, 37520, 60704, 98217, 158914, 257123, 416029, 673144, 1089164
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OFFSET
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0,3
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COMMENTS
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LINKS
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FORMULA
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a(n) = round(Fibonacci(n+2)/2 + (n-1)/3).
a(n) = round(Fibonacci(n+2)/2 + n/3 - 1/2).
a(n) = floor(Fibonacci(n+2)/2 + n/3 - 1/6).
a(n) = ceiling(Fibonacci(n+2)/2 + n/3 - 1/2).
a(n) = a(n-3) + Fibonacci(n)+1, n > 2.
a(n) = 2*a(n-1) - 2*a(n-4) + a(n-6), n > 5.
G.f.: x*(x^3+x^2-1) / ( (x^2+x+1)*(x^2+x-1)*(x-1)^2 ).
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EXAMPLE
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a(4) = 0 + 1 + 1 + 1 + 2 = 5.
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MAPLE
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seq(ceil(Fibonacci(n+2)/2+n/3-1/2), n=0..30)
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PROG
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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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