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A054433 Numbers formed by interpreting the reduced residue set of every even number as a Zeckendorf Expansion. 5
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..2392

FORMULA

a(n) = A054433_as_sum(2*n).

MAPLE

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;

MATHEMATICA

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 *)

CROSSREFS

Cf. A054432, A048757, A051258, A063683.

Sequence in context: A320920 A048757 A173659 * A219769 A308038 A096531

Adjacent sequences:  A054430 A054431 A054432 * A054434 A054435 A054436

KEYWORD

nonn,changed

AUTHOR

Antti Karttunen

STATUS

approved

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Last modified October 22 17:39 EDT 2019. Contains 328319 sequences. (Running on oeis4.)