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Search: id:A145274
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| 329, 10749959329, 13354478338703157414450712411084788083329
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A member of the family of sequences of type:
(G^(k^(n + 1)) - (1 - G)^(k^(n + 1)))/(G^(k^n) - (1 - G)^(k^n)) where G = (1 + Sqrt[5])/2
k=2 see A001566
k=3 see A002814(n+2)
k=4 see A145274
k=5 see A145275
k=6 see A145276
k=7 see A145277
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FORMULA
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a(n)=(G^(4^(n + 1)) - (1 - G)^(4^(n + 1)))/(G^(4^n) - (1 - G)^(4^n)) where G = (1 + Sqrt[5])/2
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MATHEMATICA
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G = (1 + Sqrt[5])/2; Table[Expand[(G^(4^(n + 1)) - (1 - G)^(4^(n + 1)))/Sqrt[5]]/Expand[(G^(4^n) - (1 - G)^(4^n))/Sqrt[5]], {n, 1, 5}] (*Artur Jasinski*)
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CROSSREFS
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A001566, A002814, A145274, A145275, A145276, A145277
Sequence in context: A126311 A097738 A138078 this_sequence A117345 A064262 A126997
Adjacent sequences: A145271 A145272 A145273 this_sequence A145275 A145276 A145277
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KEYWORD
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nonn,bref
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AUTHOR
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Artur Jasinski (grafix(AT)csl.pl), Oct 06 2008
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