cp's OEIS Frontend

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.

A133767 a(n) = (4*n+3)*(4*n+5)*(4*n+7).

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%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