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 A168303 #11 Sep 08 2022 08:45:49 %S A168303 24,308,2236,11640,47753,163419,485121,1284987,3101175,6927921, %T A168303 14502059,28718989,54217878,98183330,171418854,289756194,475873962, %U A168303 761609034,1190854830,1823151902,2738088199,4040638965,5867589455,8395197525,11848267665 %N A168303 The fifth left hand column of triangle A167552. %H A168303 G. C. Greubel, <a href="/A168303/b168303.txt">Table of n, a(n) for n = 5..1000</a> %H A168303 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10,-45,120,-210,252,-210,120,-45,10,-1). %F A168303 a(n) = (642*n^9 - 13833*n^8 + 132840*n^7 - 726642*n^6 + 2439738*n^5 - 5133177*n^4 + 6699660*n^3 - 5194188*n^2 + 2157840*n - 362880)/9! %F A168303 G.f.: (z^5 + 53*z^4 + 260*z^3 + 236*z^2 + 68*z + 24)/(1-z)^10. %F A168303 a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10). %F A168303 a(n) - 9*a(n-1) + 36*a(n-2) - 84*a(n-3) + 126*a(n-4) - 126*a(n-5) + 84*a(n-6) - 36*a(n-7) + 9*a(n-8) - a(n-9) = 2*321. %t A168303 LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{24, 308, 2236, 11640, 47753, 163419, 485121, 1284987, 3101175, 6927921},50] (* _G. C. Greubel_, Jul 17 2016 *) %o A168303 (Magma) [(642*n^9-13833*n^8+132840*n^7-726642*n^6+ 2439738*n^5-5133177*n^4+6699660*n^3-5194188*n^2+ 2157840*n- 362880)/362880: n in [5..40]]; // _Vincenzo Librandi_, Jul 18 2016 %Y A168303 Equals the fifth left hand column of triangle A167552. %Y A168303 Other left hand columns are A005408, A167554, A167555 and A168302. %K A168303 easy,nonn %O A168303 5,1 %A A168303 _Johannes W. Meijer_, Nov 23 2009