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 A168029 #23 Sep 01 2025 18:59:56
%S A168029 0,1,65,1095,8194,39065,139971,411775,1048580,2391489,5000005,9743591,
%T A168029 17915910,31374265,52706759,85429695,134217736,205169345,306110025,
%U A168029 446935879,640000010,900544281,1247178955,1702412735,2293235724,3051757825,4015905101
%N A168029 a(n) = n*(n^6 + 1)/2.
%H A168029 Kelvin Voskuijl, <a href="/A168029/b168029.txt">Table of n, a(n) for n = 0..10000</a> (terms 0..1000 from Vincenzo Librandi)
%H A168029 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F A168029 G.f.: x*(1+57*x+603*x^2+1198*x^3+603*x^4+57*x^5+x^6)/(1-x)^8. - _Vincenzo Librandi_, Dec 10 2014
%F A168029 E.g.f.: (x/2)*(2 +63*x +301*x^2 +350*x^3 +140*x^4 +21*x^5 +x^6)*exp(x). - _G. C. Greubel_, Jan 12 2023
%t A168029 CoefficientList[Series[x(1 +57x +603x^2 +1198x^3 +603x^4 +57x^5 +x^6)/ (1-x)^8, {x, 0, 50}], x] (* _Vincenzo Librandi_, Dec 10 2014 *)
%t A168029 LinearRecurrence[{8,-28,56,-70,56,-28,8,-1}, {0,1,65,1095,8194,39065, 139971,411775}, 41] (* _Harvey P. Dale_, Jan 24 2019 *)
%o A168029 (Magma) [n*(n^6+1)/2: n in [0..40]]; // _Vincenzo Librandi_, Dec 10 2014
%o A168029 (SageMath) [n*(n^6+1)/2 for n in range(41)] # _G. C. Greubel_, Jan 12 2023
%Y A168029 Sequences of the form n*(n^m + 1)/2: A001477 (m=0), A000217 (m=1), A006003 (m=2), A027441 (m=3), A021003 (m=4), A167963 (m=5), this sequence (m=6), A168067 (m=7), A168116 (m=8), A168118 (m=9), A168119 (m=10).
%K A168029 nonn,easy,changed
%O A168029 0,3
%A A168029 _N. J. A. Sloane_, Dec 11 2009
%E A168029 More terms from _Vincenzo Librandi_, Dec 10 2014