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

0,1

Links

Table of n, a(n) for n=0..20.

Formula

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

Prog

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

Crossrefs

Row m=0 in A300480 and A300481.

Cf. A102761, A300483, A300484, A300485.

Sequence in context: A366592 A095859 A349627 * A191897 A088850 A363032

Adjacent sequences: A300479 A300480 A300481 * A300483 A300484 A300485

Keyword

nonn

Author

Max Alekseyev, Mar 06 2018

Status

approved