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 A151989 #27 Sep 20 2022 02:37:25 %S A151989 1,126,1001,3876,10626,23751,46376,82251,135751,211876,316251,455126, %T A151989 635376,864501,1150626,1502501,1929501,2441626,3049501,3764376, %U A151989 4598126,5563251,6672876,7940751,9381251,11009376,12840751,14891626,17178876,19720001,22533126 %N A151989 a(n) = A001512(n)/24 = (5*n+1)*(5*n+2)*(5*n+3)*(5*n+4)/24. %H A151989 Vincenzo Librandi, <a href="/A151989/b151989.txt">Table of n, a(n) for n = 0..10000</a> %H A151989 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1). %F A151989 Sum_{k>=0} 1/a(k) = 4*sqrt(10-22/sqrt(5))*Pi/5. - _Jaume Oliver Lafont_, May 22 2010 %F A151989 G.f.: (1 + 121*x + 381*x^2 + 121*x^3 + x^4)/(1-x)^5. - _Colin Barker_, Aug 17 2012 %F A151989 Sum_{n>=0} (-1)^n/a(n) = 32*log(2)/5 - 8*arccoth(3/sqrt(5))/sqrt(5). - _Amiram Eldar_, Sep 20 2022 %t A151989 (Times@@#)/24&/@Table[5n+i,{n,0,35},{i,4}] (* _Harvey P. Dale_, Aug 16 2011 *) %t A151989 Table[Binomial[5*n+4,4], {n,0,30}] (* _G. C. Greubel_, Nov 08 2018 *) %o A151989 (Magma) [(5*n+1)*(5*n+2)*(5*n+3)*(5*n+4)/24: n in [0..30]]; // _Vincenzo Librandi_, Aug 17 2011 %o A151989 (PARI) vector(30, n, n--; binomial(5*n+4,4)) \\ _G. C. Greubel_, Nov 08 2018 %Y A151989 Cf. A001512. %K A151989 nonn,easy %O A151989 0,2 %A A151989 _M. F. Hasler_, Sep 14 2009