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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.
6
2, 1, 0, 3, 18, 95, 592, 4277, 35010, 320589, 3249648, 36137959, 437555090, 5730924667, 80743426272, 1217763999465, 19576502192898, 334180669811993, 6037275621582880, 115081732852805771, 2308342741080096402
OFFSET
0,1
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.
Sequence in context: A366592 A095859 A349627 * A191897 A088850 A363032
KEYWORD
nonn
AUTHOR
Max Alekseyev, Mar 06 2018
STATUS
approved