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A111573
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a(n) = a(n-1) + a(n-3) + a(n-4), n >= 4.
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6
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0, 1, 3, 3, 4, 8, 14, 21, 33, 55, 90, 144, 232, 377, 611, 987, 1596, 2584, 4182, 6765, 10945, 17711, 28658, 46368, 75024, 121393, 196419, 317811, 514228, 832040, 1346270, 2178309, 3524577, 5702887, 9227466, 14930352, 24157816, 39088169
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OFFSET
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0,3
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COMMENTS
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See comment and FAMP code for A111569.
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LINKS
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FORMULA
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G.f.: -x*(1+2*x)/((x^2+x-1)*(x^2+1)).
a(2*n) = Fibonacci(n)*Lucas(n+1);
a(2*n+1) = Fibonacci(2*n+1). (End)
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MATHEMATICA
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Table[Fibonacci[n + 1] - Cos[n*Pi/2], {n, 0, 40}] (* Greg Dresden, Oct 16 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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STATUS
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approved
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