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 A083683 a(n) = 11*2^n + 1. 10
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS 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 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (3,-2). FORMULA a(n) = 2*a(n-1) - 1. a(n) = 3*a(n-1) - 2*a(n-2), n>1. - Vincenzo Librandi, Nov 03 2011 G.f. (12-13*x)/((2*x-1)*(x-1)). - R. J. Mathar, Nov 03 2011 MATHEMATICA 11*2^Range[0, 30]+1 (* or *) LinearRecurrence[{3, -2}, {12, 23}, 40] (* Harvey P. Dale, Aug 17 2017 *) PROG (MAGMA) [11*2^n+1 : n in [0..30]]; // Vincenzo Librandi, Nov 03 2011 (PARI) a(n)=11*2^n+1 \\ Charles R Greathouse IV, Jun 11 2015 CROSSREFS Cf. A020737, A083575, A083686, A083705, A168596, A181565, A195744. Sequence in context: A341740 A190426 A207539 * A294139 A255766 A333933 Adjacent sequences:  A083680 A083681 A083682 * A083684 A083685 A083686 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Jun 15 2003 STATUS approved

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Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)