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 A176916 #23 Aug 23 2024 20:54:43 %S A176916 2,11,36,141,646,3151,15656,78161,390666,1953171,9765676,48828181, %T A176916 244140686,1220703191,6103515696,30517578201,152587890706, %U A176916 762939453211,3814697265716,19073486328221,95367431640726,476837158203231,2384185791015736,11920928955078241,59604644775390746 %N A176916 a(n) = 5^n + 5*n + 1. %H A176916 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (7,-11,5). %F A176916 a(n) = A000351(n) + A008587(n) + 1 = A000351(n) + A016861(n). %F A176916 From _R. J. Mathar_, Apr 29 2010: (Start) %F A176916 a(n) = 7*a(n-1) - 11*a(n-2) + 5*a(n-3). %F A176916 G.f.: ( -2+3*x+19*x^2 ) / ( (5*x-1)*(x-1)^2 ). (End) %F A176916 E.g.f.: exp(x)*(1 + exp(4*x) + 5*x). - _Stefano Spezia_, Aug 19 2024 %e A176916 a(3) = 5^3 + 5*3 + 1 = 141. %t A176916 LinearRecurrence[{7,-11,5},{2,11,36},25] (* _Stefano Spezia_, Aug 19 2024 *) %o A176916 (PARI) a(n)=5^n+5*n+1 \\ _Charles R Greathouse IV_, Aug 23 2024 %Y A176916 Cf. A000351, A008587, A016861, A176691, A176805. %K A176916 nonn,easy %O A176916 0,1 %A A176916 _Jonathan Vos Post_, Apr 28 2010 %E A176916 First term corrected by several authors, Apr 29 2010 %E A176916 a(22)-a(24) from _Stefano Spezia_, Aug 19 2024