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A096658
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a(n) = (2^n)*a(n-1) + (2^(n-1))*a(n-2), a(0)=1, a(1)=2.
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1
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1, 2, 10, 88, 1488, 49024, 3185152, 410836992, 105581969408, 54163142606848, 55517115997749248, 113754516621419872256, 466052199134899187220480, 3818365553813175477506932736, 62563919133290380117615296118784
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| This is the sequence of denominators of self-convergents to the number 1.40861... whose self-continued fraction is (1,2,4,8,16,...). See A096657 for numerators and A096654 for definitions.
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FORMULA
| a(n) is asymptotic to c*2^(n(n+1)/2) where c=1.54241381761010214381886547... - from More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 01 2004
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MATHEMATICA
| a[0]=1; a[1]=2; a[n_] := (2^n)*a[n-1] + (2^(n-1))*a[n-2]; Table[ a[n], {n, 0, 14}] (from Robert G. Wilson v Jul 03 2004)
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CROSSREFS
| Cf. A000079, A096654, A096657.
Sequence in context: A186448 A144002 A060350 * A186184 A055779 A198434
Adjacent sequences: A096655 A096656 A096657 * A096659 A096660 A096661
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu), Jul 01 2004
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EXTENSIONS
| More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 02 2004
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