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 A198275 17*2^n - 1. 5
 16, 33, 67, 135, 271, 543, 1087, 2175, 4351, 8703, 17407, 34815, 69631, 139263, 278527, 557055, 1114111, 2228223, 4456447, 8912895, 17825791, 35651583, 71303167, 142606335, 285212671, 570425343, 1140850687, 2281701375, 4563402751, 9126805503, 18253611007 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 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+1) = 2*a(n) + 1. G.f.: ( 16-15*x ) / ( (2*x-1)*(x-1) ). - R. J. Mathar, Oct 25 2011 a(0)=16, a(1)=33, a(n)=3*a(n-1)-2*a(n-2). - Harvey P. Dale, Dec 03 2011 a(n) + a(n-1)^2 = (a(n-1)+1)^2. - Vincenzo Librandi, Jun 11 2014 EXAMPLE a(2) = 17*2^2-1 = 67. MAPLE A198275:=n->17*2^n-1; seq(A198275(n), n=0..30); # Wesley Ivan Hurt, Jun 11 2014 MATHEMATICA 17*2^Range[0, 30]-1 (* or *) LinearRecurrence[{3, -2}, {16, 33}, 40] (* Harvey P. Dale, Dec 03 2011 *) PROG (BASIC) for j = 0 to 30 : print str\$((17*2^j)-1)+", "; : next j (Magma) [17*2^n-1: n in [0..30]]; // Vincenzo Librandi, Oct 28 2011 CROSSREFS Cf. A086224, A110287. Sequence in context: A132758 A195146 A365802 * A041504 A275252 A041506 Adjacent sequences: A198272 A198273 A198274 * A198276 A198277 A198278 KEYWORD nonn,easy AUTHOR Jeremy Gardiner, Oct 23 2011 STATUS approved

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Last modified August 13 21:35 EDT 2024. Contains 375144 sequences. (Running on oeis4.)