The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A126109 a(n) = (5*10^n + 1)/3. 3
 2, 17, 167, 1667, 16667, 166667, 1666667, 16666667, 166666667, 1666666667, 16666666667, 166666666667, 1666666666667, 16666666666667, 166666666666667, 1666666666666667, 16666666666666667 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS a(n+1)*(10^n)*(10^n+1) is the sum of squares of the positive even numbers not exceeding 10^n. - Graeme McRae, Aug 22 2021 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (11,-10). FORMULA From Vincenzo Librandi, Nov 09 2011: (Start) a(n) = 10*a(n-1) - 3. a(n) = 11*a(n-1) - 10*a(n-2). G.f.: (2-5*x)/((1-x)*(1-10*x)). (End) MAPLE A126109:=n->(5*10^n+1)/3: seq(A126109(n), n=0..30); # Wesley Ivan Hurt, Jan 24 2017 MATHEMATICA NestList[10#-3&, 2, 20] (* or *) LinearRecurrence[{11, -10}, {2, 17}, 20] (* Harvey P. Dale, Jan 14 2012 *) PROG (MAGMA) [(5*10^n+1)/3: n in [0..30]]; // Vincenzo Librandi, Nov 09 2011 CROSSREFS Sequence in context: A197864 A231616 A003419 * A046909 A041879 A011550 Adjacent sequences:  A126106 A126107 A126108 * A126110 A126111 A126112 KEYWORD nonn,easy AUTHOR Alex P. Lamoreux (Chamale_ic(AT)hotmail.com), Mar 05 2007 EXTENSIONS Edited by Don Reble, Mar 09 2007 STATUS approved

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

Last modified September 25 12:38 EDT 2021. Contains 347654 sequences. (Running on oeis4.)