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A103114
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a(n) = abs( f(Fibonacci(n)) - Fibonacci(f(n)) ), where f(n) = n-2 if (n mod 3) = 0, f(n) = n+2 if (n mod 3) = 1, otherwise f(n) = n.
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1
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1, 2, 1, 7, 0, 5, 19, 2, 23, 87, 0, 87, 377, 0, 379, 1599, 2, 1599, 6765, 2, 6765, 28657, 2, 28655, 121391, 2, 121393, 514231, 0, 514229, 2178307, 2, 2178311, 9227463, 0, 9227463, 39088169, 0, 39088171, 165580143, 2, 165580143, 701408733, 2
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = abs( f(Fibonacci(n)) - Fibonacci(f(n)) ), where f(n) = n-2 if (n mod 3) = 0, f(n) = n+2 if (n mod 3) = 1, otherwise f(n) = n; or f(n) = - f(n-1) - f(n-2) + 3*(n-1), with f(1) = 3 and f(2) = 2.
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MATHEMATICA
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f[n_]= If[Mod[n, 3]==0, n-2, If[Mod[n, 3]==1, n+2, n]];
a[n_]:= Abs[f[Fibonacci[n]] - Fibonacci[f[n]]];
Table[a[n], {n, 50}]
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PROG
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(Magma)
f:= func< n | n mod 3 eq 0 select n-2 else n mod 3 eq 1 select n+2 else n >;
A103114:= func< n | Abs( f(Fibonacci(n)) - Fibonacci(f(n)) ) >;
(SageMath)
def f(n):
if (n%3)==0: return n-2
elif (n%3)==1: return n+2
else: return n
def A103114(n): return abs( f(fibonacci(n)) - fibonacci(f(n)) )
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CROSSREFS
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KEYWORD
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nonn,easy,less
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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