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 A069779 #11 Aug 30 2020 13:26:11 %S A069779 1,24,315,2080,8925,29016,77959,182400,384345,746200,1356531,2336544, %T A069779 3847285,6097560,9352575,13943296,20276529,28845720,40242475,55168800, %U A069779 74450061,99048664,130078455,168819840,216735625,275487576,346953699,433246240,536730405,660043800 %N A069779 q-factorial numbers 4!_q. %H A069779 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1). %F A069779 a(n) = (n + 1)*(n^2 + n + 1)*(n^3 + n^2 + n + 1). %F A069779 G.f.: (1 + 17*x + 8*x^2*(21 + 43*x) + 5*x^4*(35 + 3*x))/(1 - x)^7. - _Arkadiusz Wesolowski_, Nov 01 2012 %t A069779 Table[QFactorial[4, n], {n, 0, 29}] (* _Arkadiusz Wesolowski_, Nov 01 2012 *) %t A069779 LinearRecurrence[{7,-21,35,-35,21,-7,1},{1,24,315,2080,8925,29016,77959},30] (* _Harvey P. Dale_, Aug 30 2020 *) %Y A069779 Cf. A069777-A069778, A218503. %K A069779 easy,nonn %O A069779 0,2 %A A069779 _Franklin T. Adams-Watters_, Apr 07 2002