cp's OEIS Frontend

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.

A069779 q-factorial numbers 4!_q.

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%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