# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a024116 Showing 1-1 of 1 %I A024116 #17 Sep 08 2022 08:44:48 %S A024116 1,9,96,991,9984,99975,999964,9999951,99999936,999999919,9999999900, %T A024116 99999999879,999999999856,9999999999831,99999999999804, %U A024116 999999999999775,9999999999999744,99999999999999711,999999999999999676 %N A024116 a(n) = 10^n - n^2. %H A024116 Vincenzo Librandi, Table of n, a(n) for n = 0..300 %H A024116 Index entries for linear recurrences with constant coefficients, signature (13,-33,31,-10). %F A024116 G.f.: (1-4*x+12*x^2+9*x^3)/((1-10*x)*(1-x)^3). - _Vincenzo Librandi_, Oct 06 2014 %F A024116 a(n) = 13*a(n-1) -33*a(n-2) +31*a(n-3) -10*a(n-4) for n>3. - _Vincenzo Librandi_, Oct 06 2014 %F A024116 a(n) = A011557(n) - A000290(n). - _Michel Marcus_, Oct 06 2014 %t A024116 Table[10^n - n^2, {n, 0, 25}] (* or *) CoefficientList[Series[(1 - 4 x + 12 x^2 + 9 x^3)/((1 - 10 x) (1-x)^3), {x, 0, 30}], x] (* _Vincenzo Librandi_, Oct 06 2014 *) %t A024116 LinearRecurrence[{13,-33,31,-10},{1,9,96,991},20] (* _Harvey P. Dale_, May 29 2021 *) %o A024116 (Magma) [10^n-n^2: n in [0..20]]; // _Vincenzo Librandi_, Jun 30 2011 %Y A024116 Cf. similar sequences listed in A024025. %K A024116 nonn,easy %O A024116 0,2 %A A024116 _N. J. A. Sloane_. # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE