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.

A300482 a(n) = 2 * Integral_{t>=0} T_n(t/2) * exp(-t) * dt, n>=0, where T_n(x) is n-th Chebyshev polynomial of first kind.

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%I A300482 #7 Mar 07 2018 08:19:06
%S A300482 2,1,0,3,18,95,592,4277,35010,320589,3249648,36137959,437555090,
%T A300482 5730924667,80743426272,1217763999465,19576502192898,334180669811993,
%U A300482 6037275621582880,115081732852805771,2308342741080096402
%N A300482 a(n) = 2 * Integral_{t>=0} T_n(t/2) * exp(-t) * dt, n>=0, where T_n(x) is n-th Chebyshev polynomial of first kind.
%F A300482 a(n) = Sum_{i=0..n} A127672(n,i) * i!.
%o A300482 (PARI) { A300482(n) = if(n==0, return(2)); subst( serlaplace( 2*polchebyshev(n, 1, x/2)), x, 1); }
%Y A300482 Row m=0 in A300480 and A300481.
%Y A300482 Cf. A102761, A300483, A300484, A300485.
%K A300482 nonn
%O A300482 0,1
%A A300482 _Max Alekseyev_, Mar 06 2018