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Search: id:A096658
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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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2
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| 1, 2, 10, 88, 1488, 49024, 3185152, 410836992, 105581969408, 54163142606848, 55517115997749248, 113754516621419872256, 466052199134899187220480, 3818365553813175477506932736, 62563919133290380117615296118784
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OFFSET
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0,2
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COMMENT
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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
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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
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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
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Cf. A000079, A096654, A096657.
Sequence in context: A111811 A144002 A060350 this_sequence A055779 A067550 A086587
Adjacent sequences: A096655 A096656 A096657 this_sequence A096659 A096660 A096661
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), Jul 01 2004
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EXTENSIONS
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More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 02 2004
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