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 A006589 a(n) = (n+3)*2^n-1. 5
 0, 2, 7, 19, 47, 111, 255, 575, 1279, 2815, 6143, 13311, 28671, 61439, 131071, 278527, 589823, 1245183, 2621439, 5505023, 11534335, 24117247, 50331647, 104857599, 218103807, 452984831, 939524095 (list; graph; refs; listen; history; text; internal format)
 OFFSET -1,2 COMMENTS Binomial transform of [2/1, 3/2, 4/3, 5/4...] = 2/1, 7/2, 19/3, 47/4, 111/5... - Gary W. Adamson, Apr 28 2005 Binomial transform of A087156 := [0,2,3,4,5,6,7,8,9,10,...]. - Philippe Deléham, Nov 25 2008 Partial sums of A045623 minus 1. - R. J. Mathar, Jan 25 2009 For n >= 0: sums of rows of the triangle in A173786. - Reinhard Zumkeller, Feb 28 2010 REFERENCES W. A. Whitworth, DCC Exercises in Choice and Chance, Stechert, NY, 1945, p. 28. LINKS M. Le Brun, Email to N. J. A. Sloane, Jul 1991 Index entries for linear recurrences with constant coefficients, signature (5,-8,4). FORMULA G.f.: (2-3x)/((1-x)(1-2x)^2). a(n)=5*a(n-1)-8*a(n-2)+4*a(n-3). - R. J. Mathar, Jan 25 2009 a(n) = A001792(n+1)-1. - R. J. Mathar, Aug 03 2015 a(n) = Sum_{k=0..n} Sum_{i=0..n} C(n,i) + C(k,i). - Wesley Ivan Hurt, Sep 21 2017 PROG (PARI) a(n)=(n+3)*2^n-1 \\ Charles R Greathouse IV, Oct 07 2015 CROSSREFS Cf. A001792, A045623. Sequence in context: A110299 A209400 A112304 * A238914 A227946 A099484 Adjacent sequences:  A006586 A006587 A006588 * A006590 A006591 A006592 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified October 16 06:05 EDT 2019. Contains 328046 sequences. (Running on oeis4.)