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.

2, 1, 0, 3, 18, 95, 592, 4277, 35010, 320589, 3249648, 36137959, 437555090, 5730924667, 80743426272, 1217763999465, 19576502192898, 334180669811993, 6037275621582880, 115081732852805771, 2308342741080096402

Offset: 0

Author

Max Alekseyev, Mar 06 2018

Keywords

• nonn

Crossrefs

Row m=0 in A300480 and A300481.

Cf. A102761, A300483, A300484, A300485.

Programs

PARI

{ A300482(n) = if(n==0, return(2)); subst( serlaplace( 2*polchebyshev(n, 1, x/2)), x, 1); }

Formula

a(n) = Sum_{i=0..n} A127672(n,i) * i!.