OFFSET
0,1
COMMENTS
Although negative values of m are not present here or in A300480, the two arrays are connected with the formula: a(m,n) = A300480(-m,n). Thus, they essentially represent two "halves" of the same array indexed by integers m.
a(m,n) is a polynomial in m of degree n.
For any integers m>=0, n>=0, 2 * Integral_{t=-m..m} T_n(t/2)*exp(-t)*dt = 4 * Integral_{z=-m/2..m/2} T_n(z)*exp(-2*z)*dz = a(m,n)*exp(m) - A300480(m,n)*exp(-m).
FORMULA
EXAMPLE
Array starts with:
m=0: 2, 1, 0, 3, 18, 95, 592, ...
m=1: 2, 0, -1, 2, 7, 34, 218, ...
m=2: 2, -1, 0, 1, 2, 13, 80, ...
m=3: 2, -2, 3, -6, 15, -28, 106, ...
m=4: 2, -3, 8, -25, 82, -269, 920, ...
...
CROSSREFS
Values for m<=0 are given in A300480.
KEYWORD
sign,tabl
AUTHOR
Max Alekseyev, Mar 06 2018
STATUS
approved