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Search: id:A163302
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| A163302 |
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Numerators of fractions in the approximation of the square root of 5 satisfying: a(n)= (a(n-1)+ c)/(a(n-1)+1); with c=5 and a(1)=1. Also product of the Lucas numbers and the powers of 2.(Excluding the first Lucas Number(2)) |
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+0
1
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| 1, 6, 16, 56, 176, 576, 1856, 6016, 19456, 62976, 203776, 659456, 2134016, 6905856, 22347776, 72318976, 234029056
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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For denominators, see A063727, which are the product of the powers of 2 and the Fibonacci sequence.
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FORMULA
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Reciprocal formula: a(n)=(a(n-1)+1)/(c*a(n-1)); with a(1)=1 [Reversed formula for accelerated approximation of Phi: a'(n)=(a(n-1)+1)/(a(n-1)+c); a'(n)=(c*a(n-1))/(a(n-1)+1); with c=2] [From M.Dols (markdols99(AT)yahoo.com), Jul 28 2009]
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CROSSREFS
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A000032, A000079, A084057, A063727, A000045
Sequence in context: A126360 A026086 A032282 this_sequence A084057 A091649 A125628
Adjacent sequences: A163299 A163300 A163301 this_sequence A163303 A163304 A163305
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KEYWORD
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nonn
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AUTHOR
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Mark Dols (markdols99(AT)yahoo.com), Jul 24 2009
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