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A100523
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a(n) = a(n-1)^2 + 2*a(n-1) - 1 with a(0) = 1.
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1
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) ~ c^(2^n), where c = 1.6784589651254290832096890907802189718037513767396728769965837700954845976... . - Vaclav Kotesovec, Dec 18 2014
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MATHEMATICA
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RecurrenceTable[{a[n] == a[n-1]^2 + a[n-1]*2 - 1, a[0] == 1}, a, {n, 0, 10}] (* Vaclav Kotesovec, Dec 18 2014 *)
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PROG
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(Magma) [n le 1 select 1 else Self(n-1)^2 +2*Self(n-1) -1: n in [1..13]]; // G. C. Greubel, Jun 26 2022
(SageMath)
def a(n): return 1 if (n==0) else a(n-1)^2 + 2*a(n-1) - 1 # a=A100523
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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