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A145233
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Fibonacci(6^n).
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5
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OFFSET
| 1,1
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COMMENTS
| Family of sequences (G^(k^n) - (1 - G)^(k^n))/Sqrt[5]
k=2 see A058635
k=3 see A045529
k=4 see A145231
k=5 see A145232
k=6 see A145233
k=7 see A145234
The next term, a(4), has 271 digits. [From Harvey P. Dale, Jul 18 2011]
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FORMULA
| a(n)= (G^(6^n) - (1 - G)^(6^n))/Sqrt[5] where G = (1 + Sqrt[5])/2
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MAPLE
| A145233 := proc(n) combinat[fibonacci](6^n) ; end proc: # R. J. Mathar, Apr 01 2011
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MATHEMATICA
| G = (1 + Sqrt[5])/2; Table[Expand[(G^(6^n) - (1 - G)^(6^n))/Sqrt[5]], {n, 1, 6}] (*Artur Jasinski*)
Fibonacci[6^Range[4]] (* From Harvey P. Dale, Jul 18 2011 *)
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PROG
| (MAGMA) [Fibonacci(6^n): n in [0..5]]; // Vincenzo Librandi, Apr 02 2011
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CROSSREFS
| Cf. A000045, A058635, A045529, A145231 - A145234
Sequence in context: A061212 A003836 A072315 * A076916 A076917 A076923
Adjacent sequences: A145230 A145231 A145232 * A145234 A145235 A145236
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KEYWORD
| nonn,bref
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Oct 05 2008
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