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 A087323 a(n) = (n+1) * 2^n - 1. 6
 0, 3, 11, 31, 79, 191, 447, 1023, 2303, 5119, 11263, 24575, 53247, 114687, 245759, 524287, 1114111, 2359295, 4980735, 10485759, 22020095, 46137343, 96468991, 201326591, 419430399, 872415231, 1811939327, 3758096383, 7784628223, 16106127359, 33285996543, 68719476735 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums of triangle in A018900 (without the initial 0). - Reinhard Zumkeller, Jun 24 2009 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..3000 (corrected by Ray Chandler, Jan 19 2019) Index entries for linear recurrences with constant coefficients, signature (5,-8,4). FORMULA a(n) = (n + 1) * 2^n - 1 = 2^n * n + 2^n - 1. a(n) = 5*a(n-1) - 8*a(n-2) + 4*a(n-3). G.f.: x*(3-4*x)/((1-x)*(1-2*x)^2). - Colin Barker, Mar 23 2012 a(n) = A001787(n+1) - 1. - Omar E. Pol, Nov 09 2013 MATHEMATICA Table[(n + 1)2^n - 1, {n, 0, 29}] (* Alonso del Arte, Jan 31 2014 *) LinearRecurrence[{5, -8, 4}, {0, 3, 11}, 40] (* Harvey P. Dale, Sep 15 2019 *) PROG (MAGMA) [((n+1)*2^n - 1): n in [1..30]]; // Vincenzo Librandi, Sep 29 2011 CROSSREFS Cf. A087322 (a triangle which includes this sequence as the leading diagonal but without the initial zero). Sequence in context: A190590 A341705 A241693 * A236752 A034543 A268800 Adjacent sequences:  A087320 A087321 A087322 * A087324 A087325 A087326 KEYWORD nonn,easy AUTHOR Amarnath Murthy, Sep 03 2003 EXTENSIONS Edited and extended by David Wasserman, May 06 2005 Formula promoted to definition and offset adjusted to 0 by Alonso del Arte, Jan 31 2014 STATUS approved

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Last modified April 16 07:59 EDT 2021. Contains 343030 sequences. (Running on oeis4.)