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A083683
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a(n) = 11*2^n + 1.
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10
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12, 23, 45, 89, 177, 353, 705, 1409, 2817, 5633, 11265, 22529, 45057, 90113, 180225, 360449, 720897, 1441793, 2883585, 5767169, 11534337, 23068673, 46137345, 92274689, 184549377, 369098753, 738197505, 1476395009, 2952790017, 5905580033, 11811160065
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OFFSET
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0,1
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COMMENTS
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An Engel expansion of 2/11 to the base 2 as defined in A181565, with the associated series expansion 2/11 = 2/12 + 2^2/(12*23) + 2^3/(12*23*45) + 2^4/(12*23*45*89) + ... . - Peter Bala, Oct 29 2013
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LINKS
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FORMULA
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a(n) = 2*a(n-1) - 1.
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MATHEMATICA
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11*2^Range[0, 30]+1 (* or *) LinearRecurrence[{3, -2}, {12, 23}, 40] (* Harvey P. Dale, Aug 17 2017 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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