OFFSET
0,8
EXAMPLE
[n\k][0, 1, 2, 3, 4, 5, 6, 7, 8]
[0] 1;
[1] 1, 0;
[2] 1, 1, 1;
[3] 1, 4, 4, 0;
[4] 1, 11, 17, 7, 1;
[5] 1, 26, 76, 66, 16, 0;
[6] 1, 57, 317, 467, 237, 31, 1;
[7] 1, 120, 1212, 2962, 2612, 806, 64, 0;
[8] 1, 247, 4321, 17215, 24145, 13519, 2641, 127, 1;
MAPLE
gf := cosh(x*z)*(x-1)/(x-exp(z*(x-1))):
ser := series(gf, z, 12): p := n -> normal(n!*coeff(ser, z, n)):
seq(seq(coeff(p(n), x, k), k=0..n), n=0..10);
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Aug 19 2018
STATUS
approved