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.
%I A144797 #32 Jul 25 2021 13:57:24 %S A144797 2,4,16,26,94,152,548,886,3194,5164,18616,30098,108502,175424,632396, %T A144797 1022446,3685874,5959252,21482848,34733066,125211214,202439144, %U A144797 729784436,1179901798,4253495402,6876971644,24791187976,40081928066,144493632454,233614596752 %N A144797 Numbers k such that 2*k^2 + 17 is a square. %H A144797 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,6,0,-1). %F A144797 G.f.: 2*x*(1+x)*(1+x+x^2) / ( (x^2+2*x-1)*(x^2-2*x-1) ). - _R. J. Mathar_, Nov 27 2011 %F A144797 a(n) = 2*A077241(n-1). - _R. J. Mathar_, Nov 27 2011 %F A144797 a(n) = 6*a(n-2) - a(n-4). - _Colin Barker_, Oct 20 2014 %e A144797 a(1)=2 because 2*4 + 17 = 25 = 5^2. %t A144797 Select[Range[6000000],IntegerQ[Sqrt[2#^2+17]]&] (* _Harvey P. Dale_, Aug 18 2012 *) %t A144797 LinearRecurrence[{0, 6, 0, -1}, 2{1, 2, 8, 13}, 30] (* _Robert G. Wilson v_, Dec 02 2014 *) %o A144797 (PARI) Vec(2*x*(1+x)*(1+x+x^2) / ((x^2+2*x-1)*(x^2-2*x-1)) + O(x^50)) \\ _Colin Barker_, Oct 20 2014 %Y A144797 Cf. A133301. %K A144797 nonn,easy %O A144797 1,1 %A A144797 _Richard Choulet_, Sep 21 2008 %E A144797 Corrected by _R. J. Mathar_, Nov 27 2011 %E A144797 Editing and more terms from _Colin Barker_, Oct 20 2014