The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A016136 Expansion of 1/((1-2*x)*(1-12*x)). 2
 1, 14, 172, 2072, 24880, 298592, 3583168, 42998144, 515977984, 6191736320, 74300836864, 891610044416, 10699320537088, 128391846453248, 1540702157455360, 18488425889497088, 221861110674030592 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..900 Index entries for linear recurrences with constant coefficients, signature (14,-24). FORMULA a(n) = (12^n - 2^n)/10 for n>0. [Zerinvary Lajos, Jun 05 2009] a(n) = 2^n*(6^(n+1)-1)/5 = 14*a(n-1)-24*a(n-2). - Vincenzo Librandi, Oct 09 2011 a(n) = Sum_{i=0..n} 2^(n+i)*3^i. [Bruno Berselli, Aug 28 2013] EXAMPLE For n=6, a(6) = 2^6+2^7*3+2^8*3^2+2^9*3^3+2^10*3^4+2^11*3^5+2^12*3^6 = 3583168. [Bruno Berselli, Aug 28 2013] MATHEMATICA CoefficientList[Series[1/((1 - 2*x)*(1 - 12*x)), {x, 0, 20}], x] (* Wesley Ivan Hurt, Apr 08 2017 *) PROG (Sage) [(12^n - 2^n)/10 for n in range(1, 18)] /* Zerinvary Lajos, Jun 05 2009 */ (Magma) [2^n*(6^(n+1)-1)/5: n in [0..20]]; // Vincenzo Librandi, Oct 09 2011 (PARI) Vec(1/((1-2*x)*(1-12*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012 (Magma) [&+[2^(n+i)*3^i: i in [0..n]]: n in [0..20]]; // Bruno Berselli, Aug 28 2013 CROSSREFS Sequence in context: A014882 A048443 A191690 * A277940 A061484 A097583 Adjacent sequences: A016133 A016134 A016135 * A016137 A016138 A016139 KEYWORD nonn,easy AUTHOR N. J. A. Sloane STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified February 29 17:49 EST 2024. Contains 370428 sequences. (Running on oeis4.)