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 A090198 #26 Feb 17 2021 03:54:25 %S A090198 1,42,197,562,1257,2426,4237,6882,10577,15562,22101,30482,41017,54042, %T A090198 69917,89026,111777,138602,169957,206322,248201,296122,350637,412322, %U A090198 481777,559626,646517,743122,850137,968282,1098301,1240962,1397057 %N A090198 a(n) = N(5,n), where N(5,x) is the 5th Narayana polynomial. %H A090198 G. C. Greubel, <a href="/A090198/b090198.txt">Table of n, a(n) for n = 0..1000</a> %H A090198 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1). %F A090198 a(n) = N(5, n) = Sum_{k>0} A001263(5, k)*n^(k-1) = n^4 +10*n^3 +20*n^2 +10*n +1. %F A090198 G.f.: (1 +37*x -3*x^2 -13*x^3 +2*x^4)/(1-x)^5. - _Philippe Deléham_, Apr 03 2013 %F A090198 E.g.f.: (1 +41*x +57*x^2 +16*x^3 +x^4)*exp(x). - _G. C. Greubel_, Feb 16 2021 %p A090198 A090198:= n-> n^4 +10*n^3 +20*n^2 +10*n +1; seq(A090198(n), n=0..40) # _G. C. Greubel_, Feb 16 2021 %t A090198 LinearRecurrence[{5,-10,10,-5,1},{1,42,197,562,1257},40] (* _Harvey P. Dale_, Mar 06 2020 *) %o A090198 (PARI) a(n) = n^4+10*n^3+20*n^2+10*n+1 \\ _Charles R Greathouse IV_, Jan 17 2012 %o A090198 (Sage) [n^4 +10*n^3 +20*n^2 +10*n +1 for n in (0..40)] # _G. C. Greubel_, Feb 16 2021 %o A090198 (Magma) [n^4 +10*n^3 +20*n^2 +10*n +1: n in [0..40]]; // _G. C. Greubel_, Feb 16 2021 %Y A090198 Cf. A001263, A008550, A090199, A090200. %K A090198 nonn,easy %O A090198 0,2 %A A090198 _Philippe Deléham_, Jan 22 2004 %E A090198 Corrected by _T. D. Noe_, Nov 08 2006