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 A154879 Third differences of the Jacobsthal sequence A001045. 8
 3, -2, 4, 0, 8, 8, 24, 40, 88, 168, 344, 680, 1368, 2728, 5464, 10920, 21848, 43688, 87384, 174760, 349528, 699048, 1398104, 2796200, 5592408, 11184808, 22369624, 44739240, 89478488, 178956968, 357913944, 715827880, 1431655768, 2863311528, 5726623064 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Second differences of A078008. First differences of the sequence (-1)^(n+1)*A084247(n). LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (1,2). FORMULA a(n) + a(n+1) = A000079(n), n > 1. a(n+3) = 8*A001045(n) = 4*A078008(n+1) = 2*A097073(n+1). From R. J. Mathar, Jan 23 2009: (Start) a(n) = a(n-1) + 2*a(n-2). G.f.: (3-5*x)/((1+x)*(1-2*x)). (End) a(n) = (1/3)*(8*(-1)^n + 2^n), with n >= 0. - Paolo P. Lava, Mar 02 2009 MATHEMATICA Differences[LinearRecurrence[{1, 2}, {0, 1}, 40], 3] (* or *) LinearRecurrence[ {1, 2}, {3, -2}, 40] (* Harvey P. Dale, Apr 20 2018 *) PROG (MAGMA) [(1/3)*(8*(-1)^n+2^n): n in [0..35]]; // Vincenzo Librandi, Jul 24 2011 CROSSREFS Cf. A115341. Sequence in context: A127481 A284552 A328564 * A097673 A226377 A140430 Adjacent sequences:  A154876 A154877 A154878 * A154880 A154881 A154882 KEYWORD sign,easy AUTHOR Paul Curtz, Jan 16 2009 EXTENSIONS Edited and extended by R. J. Mathar, Jan 23 2009 Typo in A-number in formula corrected by R. J. Mathar, Feb 23 2009 STATUS approved

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Last modified April 6 09:22 EDT 2020. Contains 333273 sequences. (Running on oeis4.)