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

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A157990 a(n) = 288*n + 1. 1
 289, 577, 865, 1153, 1441, 1729, 2017, 2305, 2593, 2881, 3169, 3457, 3745, 4033, 4321, 4609, 4897, 5185, 5473, 5761, 6049, 6337, 6625, 6913, 7201, 7489, 7777, 8065, 8353, 8641, 8929, 9217, 9505, 9793, 10081, 10369, 10657, 10945, 11233, 11521 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The identity (288*n + 1)^2 - (144*n^2 + n)*24^2 = 1 can be written as a(n)^2 - (A017522(n) + n)*24^2 = 1. - Vincenzo Librandi, Feb 10 2012 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..10000 E. J. Barbeau, Polynomial Excursions, Chapter 10: Diophantine equations (2010), pages 84-85 (row 14 in the first table at p. 85, case d(t) = t*(12^2*t+1)). Index entries for linear recurrences with constant coefficients, signature (2,-1). FORMULA G.f.: x*(289-x)/(1-x)^2. - Vincenzo Librandi, Feb 10 2012 a(n) = 2*a(n-1) - a(n-2). - Vincenzo Librandi, Feb 10 2012 MATHEMATICA LinearRecurrence[{2, -1}, {289, 577}, 50] (* Vincenzo Librandi, Feb 10 2012 *) PROG (Magma) I:=[289, 577]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]]; // Vincenzo Librandi, Feb 10 2012 (PARI) for(n=1, 50, print1(288*n + 1", ")); \\ Vincenzo Librandi, Feb 10 2012 CROSSREFS Cf. A017522. Sequence in context: A287934 A152852 A156572 * A261111 A218766 A188186 Adjacent sequences: A157987 A157988 A157989 * A157991 A157992 A157993 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Mar 10 2009 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 November 27 09:16 EST 2022. Contains 358367 sequences. (Running on oeis4.)