Search: id:A059769
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%I A059769
%S A059769 1,7,27,83,239,659,1781,4751,12583,33175,87231,228983,600473,1573655,
%T A059769 4122467,10796939,28273519,74031979,193835949,507497759,1328692751,
%U A059769 3478637807,9107313407,23843452463,62423286769,163426800679
%N A059769 Frobenius number of the subsemigroup of the natural numbers generated 
               by successive pairs of Fibonacci numbers.
%D A059769 R. Froberg, C. Gottlieb and R. Haggkvist, "On numerical semigroups", 
               Semigroup Forum, 35 (1987), 63-83 (for definition of Frobenius number).
%F A059769 a(n)=(F(n)-1)*(F(n+1)-1)-1 where F(n) is the n-th Fibonacci number
%e A059769 a(3)=1 because the 3rd and 4th Fibonacci numbers are 2 and 3, so a(3)=(2-1)(3-1)-1=1. 
               Or, a(3)=1 because 1 is the largest positive integer that is not 
               a nonnegative linear combination of 2 and 3.
%t A059769 Table[(Fibonacci[n]-1)(Fibonacci[n+1]-1)-1, {n,3,28}] - T. D. Noe (noe(AT)sspectra.com), 
               Nov 27 2006
%Y A059769 A000045.
%Y A059769 Sequence in context: A036597 A038092 A059823 this_sequence A135914 A006350 
               A054485
%Y A059769 Adjacent sequences: A059766 A059767 A059768 this_sequence A059770 A059771 
               A059772
%K A059769 easy,nonn
%O A059769 3,2
%A A059769 Victoria A Sapko (vsapko(AT)math.unl.edu), Feb 21 2001
%E A059769 Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 27 2006

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