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A054433
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Numbers formed by interpreting the reduced residue set of every even number as a Zeckendorf Expansion.
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5
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1, 4, 9, 33, 80, 174, 588, 1596, 3135, 9950, 28512, 56268, 196040, 496496, 888300, 3524577, 9224880, 18118362, 63239220, 150527400, 310190454, 1129200138, 2971168704, 5834056536, 18513646430, 53213956640, 104687896833
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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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MAPLE
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with(combinat, fibonacci); # one_or_zero given at A054431.
A054433_as_sum := proc(n) local i; RETURN(add((one_or_zero(igcd(n, i))*fibonacci(i+1)), i=1..(n-1))); end;
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MATHEMATICA
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r[n_] := Sum[If[GCD[n, k] == 1, Fibonacci[n + 1 - k], 0], {k, 1, n}]; r /@ (2*Range[27]) (* Amiram Eldar, Oct 19 2019 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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