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Search: id:A145275
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| 15005, 792070839820228500005, 31175980776217478160530100720173686014195239323981905625644745017088902106318163\ 0442743411596527196875005
(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^(5^(n + 1)) - (1 - G)^(5^(n + 1)))/(G^(5^n) - (1 - G)^(5^n)) where G = (1 + Sqrt[5])/2
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MATHEMATICA
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G = (1 + Sqrt[5])/2; Table[Expand[(G^(5^(n + 1)) - (1 - G)^(5^(n + 1)))/Sqrt[5]]/Expand[(G^(5^n) - (1 - G)^(5^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: A023045 A031815 A064968 this_sequence A064730 A081635 A165614
Adjacent sequences: A145272 A145273 A145274 this_sequence A145276 A145277 A145278
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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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