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 A133767 #16 Aug 27 2025 09:49:30 %S A133767 105,693,2145,4845,9177,15525,24273,35805,50505,68757,90945,117453, %T A133767 148665,184965,226737,274365,328233,388725,456225,531117,613785, %U A133767 704613,803985,912285,1029897,1157205,1294593,1442445,1601145,1771077,1952625,2146173,2352105,2570805,2802657 %N A133767 a(n) = (4*n+3)*(4*n+5)*(4*n+7). %H A133767 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A133767 G.f.: 3*(35 + 91*x + x^2 + x^3)/(1-x)^4. %F A133767 E.g.f: (105 + 588*x + 432*x^2 + 64*x^3)*exp(x). %F A133767 Sum_{m>0} 4/a(m) = 5/6 - Pi/4. %p A133767 seq((4*n+3)*(4*n+5)*(4*n+7),n=0..40); %t A133767 a[n_]:=(4*n+3)*(4*n+5)*(4*n+7); Array[a,35,0] (* _Stefano Spezia_, Aug 27 2025 *) %K A133767 nonn,easy,changed %O A133767 0,1 %A A133767 _Miklos Kristof_, Jan 02 2008 %E A133767 a(31)-a(34) from _Stefano Spezia_, Aug 27 2025