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A181419
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Numbers of the form Fibonacci(p^{k+1})/Fibonacci(p^k) where p are primes, k>=1.
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4
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3, 7, 17, 47, 2207, 5777, 15005, 4870847, 598364773, 192900153617, 23725150497407, 792070839820228500005, 97415813466381445596089, 562882766124611619513723647, 400009475456580321242184872389193
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OFFSET
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1,1
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COMMENTS
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LINKS
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MAPLE
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N:= 10^50: # for terms <= N
S:= {}: p:= 1:
do
p:= nextprime(p);
v:= combinat:-fibonacci(p);
for k from 2 do
w:= v;
v:= combinat:-fibonacci(p^k);
r:= v/w;
if r > N then break fi;
S:= S union {r};
od;
if k = 2 then break fi;
od:
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MATHEMATICA
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t = Sort@ Flatten[ Table[ {Prime[n]^(e + 1), Prime[n]^e}, {n, 8}, {e, 10}], 1]; u = Select[t, First@# < 350 &]; Sort[ Fibonacci[ #[[1]]]/Fibonacci[ #[[2]]] & /@ u] (* Robert G. Wilson v, Oct 21 2010 *)
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CROSSREFS
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KEYWORD
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nonn,changed
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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