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 A047674 #13 Aug 31 2025 10:45:45
%S A047674 1,16,91,346,1021,2524,5479,10774,19609,33544,54547,85042,127957,
%T A047674 186772,265567,369070,502705,672640,885835,1150090,1474093,1867468,
%U A047674 2340823,2905798,3575113,4362616,5283331,6353506,7590661,9013636,10642639,12499294,14606689,16989424
%N A047674 Row 5 of square array defined in A047671.
%H A047674 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A047674 a(n) = (1/5)*(2*n^5 - 5*n^4 + 20*n^3 - 25*n^2 + 23*n - 10).
%F A047674 From _Elmo R. Oliveira_, Aug 30 2025: (Start)
%F A047674 G.f.: x*(1 + 10*x + 10*x^2 + 20*x^3 + 5*x^4 + 2*x^5)/(x-1)^6.
%F A047674 E.g.f.: 2 + (-10 + 15*x + 30*x^2 + 40*x^3 + 15*x^4 + 2*x^5)*exp(x)/5.
%F A047674 a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n > 6. (End)
%o A047674 (PARI) my(x='x+O('x^35)); Vec(x*(1+10*x+10*x^2+20*x^3+5*x^4+2*x^5)/(1-x)^6) \\ _Elmo R. Oliveira_, Aug 30 2025
%Y A047674 Cf. A047671.
%K A047674 nonn,easy,changed
%O A047674 1,2
%A A047674 _N. J. A. Sloane_
%E A047674 More terms from _Elmo R. Oliveira_, Aug 30 2025