cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A142241 a(n) = 24*n + 14.

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%I A142241 #32 Apr 04 2025 11:26:05
%S A142241 14,38,62,86,110,134,158,182,206,230,254,278,302,326,350,374,398,422,
%T A142241 446,470,494,518,542,566,590,614,638,662,686,710,734,758,782,806,830,
%U A142241 854,878,902,926,950,974,998,1022,1046,1070,1094,1118,1142,1166,1190,1214,1238
%N A142241 a(n) = 24*n + 14.
%H A142241 Vincenzo Librandi, <a href="/A142241/b142241.txt">Table of n, a(n) for n = 0..10000</a>
%H A142241 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F A142241 From _R. J. Mathar_ and _Omar E. Pol_, Sep 19 2008: (Start)
%F A142241 a(n) = 2*A017605(n).
%F A142241 G.f.: 2*(7+5*x)/(1-x)^2. (End)
%F A142241 From _Elmo R. Oliveira_, Apr 04 2025: (Start)
%F A142241 E.g.f.: 2*exp(x)*(7 + 12*x).
%F A142241 a(n) = 2*a(n-1) - a(n-2). (End)
%t A142241 Range[14, 2000, 24] (* _Vladimir Joseph Stephan Orlovsky_, Jun 14 2011 *)
%o A142241 (PARI) a(n)=24*n+14 \\ _Charles R Greathouse IV_, Jun 14 2011
%o A142241 (Magma) [24*n + 14: n in [0..50]]; // _Vincenzo Librandi_, Aug 08 2011
%Y A142241 Cf. A017605.
%K A142241 nonn,less,easy
%O A142241 0,1
%A A142241 _Paul Curtz_, Sep 17 2008
%E A142241 Edited by _N. J. A. Sloane_, Sep 19 2008