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 A022271 #37 Sep 08 2022 08:44:46 %S A022271 0,7,27,60,106,165,237,322,420,531,655,792,942,1105,1281,1470,1672, %T A022271 1887,2115,2356,2610,2877,3157,3450,3756,4075,4407,4752,5110,5481, %U A022271 5865,6262,6672,7095,7531,7980,8442,8917,9405,9906,10420,10947,11487,12040 %N A022271 a(n) = n*(13*n + 1)/2. %H A022271 G. C. Greubel, <a href="/A022271/b022271.txt">Table of n, a(n) for n = 0..5000</a> %H A022271 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1). %F A022271 a(n) = A110449(n, 6) for n>5. %F A022271 a(n) = 13*n + a(n-1) - 6 with n>0, a(0)=0. - _Vincenzo Librandi_, Aug 04 2010 %F A022271 G.f.: x*(7+6*x)/(1-x)^3. - _Vincenzo Librandi_, Mar 31 2015 %F A022271 a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n>2 - _Vincenzo Librandi_, Mar 31 2015 %F A022271 a(n) = A022270(-n). - _Bruno Berselli_, Mar 31 2015 %F A022271 a(n) = A000217(7*n) - A000217(6*n). - _Bruno Berselli_, Oct 13 2016 %F A022271 E.g.f.: (x/2)*(13*x + 14)*exp(x). - _G. C. Greubel_, Aug 23 2017 %t A022271 Table[n (13 n + 1)/2, {n, 0, 40}] (* _Vincenzo Librandi_, Mar 31 2015 *) %t A022271 LinearRecurrence[{3,-3,1},{0,7,27},50] (* _Harvey P. Dale_, Jul 03 2022 *) %o A022271 (Magma) [n*(13*n + 1)/2: n in [0..45]]; // _Vincenzo Librandi_, Mar 31 2015 %o A022271 (PARI) a(n)=n*(13*n+1)/2 \\ _Charles R Greathouse IV_, Jun 17 2017 %Y A022271 Cf. A022270, A110449. %Y A022271 Cf. similar sequences listed in A022289. %K A022271 nonn,easy %O A022271 0,2 %A A022271 _N. J. A. Sloane_ %E A022271 More terms from _Vincenzo Librandi_, Mar 31 2015