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 A128967 a(n) = (n^3-n)*8^n. 8
 0, 384, 12288, 245760, 3932160, 55050240, 704643072, 8455716864, 96636764160, 1063004405760, 11338713661440, 117922622078976, 1200666697531392, 12006666975313920, 118219490218475520, 1148417904979476480, 11024811887802974208, 104735712934128254976 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (32,-384,2048,-4096). FORMULA From R. J. Mathar, Dec 19 2008: (Start) G.f.: 384x^2/(1-8x)^4. a(n) = 384*A140802(n-2). (End) a(n) = 32*a(n-1) - 384*a(n-2) + 2048*a(n-3) - 4096*a(n-4). - Vincenzo Librandi, Feb 11 2013 From Amiram Eldar, Oct 02 2022: (Start) a(n) = A007531(n+1)*A001018(n). Sum_{n>=2} 1/a(n) = (49/16)*log(8/7) - 13/32. Sum_{n>=2} (-1)^n/a(n) = (81/16)*log(9/8) - 19/32. (End) MATHEMATICA LinearRecurrence[{32, -384, 2048, -4096}, {0, 384, 12288, 245760}, 30] (* Vincenzo Librandi, Feb 11 2013 *) PROG (Magma)[(n^3 - n)*8^n: n in [1..25]]; // Vincenzo Librandi, Feb 11 2013 CROSSREFS Cf. A001018, A007531, A036289, A128796, A140802. Cf. A128960, A128961, A128962, A128963, A128964, A128965, A128969. Sequence in context: A203980 A061403 A281656 * A168675 A190401 A256727 Adjacent sequences: A128964 A128965 A128966 * A128968 A128969 A128970 KEYWORD nonn,easy AUTHOR Mohammad K. Azarian, Apr 28 2007 EXTENSIONS Corrected the offset. - Mohammad K. Azarian, Nov 20 2008 STATUS approved

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Last modified December 1 08:58 EST 2022. Contains 358467 sequences. (Running on oeis4.)