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 A134934 #19 Dec 25 2022 03:52:28 %S A134934 1,225,841,1849,3249,5041,7225,9801,12769,16129,19881,24025,28561, %T A134934 33489,38809,44521,50625,57121,64009,71289,78961,87025,95481,104329, %U A134934 113569,123201,133225,143641,154449,165649,177241,189225,201601,214369,227529,241081 %N A134934 a(n) = (14*n+1)^2. %C A134934 Number of rats in population after n years, starting with one rat at year 0 (see A016754 for more details). %H A134934 Vincenzo Librandi, <a href="/A134934/b134934.txt">Table of n, a(n) for n = 0..10000</a> %H A134934 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1). %F A134934 O.g.f.: (1+222*x+169*x^2)/(1-x)^3 = 169/(1-x) - 560/(1-x)^2 + 392/(1-x)^3. - _R. J. Mathar_, Jan 31 2008 %F A134934 a(n) = A016754(7*n). %F A134934 E.g.f.: (1 + 224*x + 196*x^2)*exp(x). - _G. C. Greubel_, Dec 24 2022 %t A134934 (14*Range[0,50]+1)^2 (* _G. C. Greubel_, Dec 24 2022 *) %o A134934 (Magma) [(14*n+1)^2: n in [0..50]]; // _Vincenzo Librandi_, Sep 06 2011 %o A134934 (PARI) a(n)=(14*n+1)^2 \\ _Charles R Greathouse IV_, Jun 17 2017 %o A134934 (SageMath) [(14*n+1)^2 for n in range(51)] # _G. C. Greubel_, Dec 24 2022 %Y A134934 Sequences of the form (m*n+1)^2: A000012 (m=0), A000290 (m=1), A016754 (m=2), A016778 (m=3), A016814 (m=4), A016862 (m=5), A016922 (m=6), A016994 (m=7), A017078 (m=8), A017174 (m=9), A017282 (m=10), A017402 (m=11), A017534 (m=12), this sequence (m=14). %Y A134934 Cf. A016754. %K A134934 nonn,easy %O A134934 0,2 %A A134934 _Hans Isdahl_, Jan 26 2008