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A178767 GCD(Fibonacci(n),Fibonacci(n+3)+2) sorted with no repeats. 1
1, 2, 3, 4, 5, 7, 13, 36, 47, 68, 89, 123, 233, 644, 843, 1220, 1597, 2207, 4181, 11556, 15127, 21892, 28657, 39603, 75025, 207364, 271443, 392836, 514229, 710647, 1346269, 3720996, 4870847, 7049156, 9227465, 12752043, 24157817, 66770564, 87403803, 126491972 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..1000

FORMULA

G.f.: (2*x^14 +3*x^12 +x^11 +4*x^10 +7*x^9 +5*x^7 -7*x^6 -5*x^5 -4*x^4 -3*x^3 -2*x^2 -x) / (-x^12+18*x^6-1). - Alois P. Heinz, Dec 29 2010

MAPLE

a:= proc(n) local l, r;

      l:= [1, 2, 3, 4, 5, 7, 13, 36, 47, 68, 89, 123, 233, 644];

      `if`(n<15, l[n], (<<0|1>, <-1|18>> ^iquo(n-3, 6, 'r').

                        <<l[3+r], l[9+r]>>) [1, 1])

    end:

seq(a(n), n=1..40);  # Alois P. Heinz, Dec 29 2010

MATHEMATICA

Take[Union@Table[GCD[Fibonacci[n], Fibonacci[n+3]+2], {n, 1000}], 60]

CROSSREFS

Cf. A063726, A178766, A134493, A134497, A000045.

Sequence in context: A275575 A066661 A268199 * A125707 A039060 A278442

Adjacent sequences:  A178764 A178765 A178766 * A178768 A178769 A178770

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Dec 26 2010

STATUS

approved

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Last modified September 16 18:24 EDT 2019. Contains 327116 sequences. (Running on oeis4.)