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A298213
Triangle read by rows, expansion of exp(x*exp(z)*tan(z)).
0
1, 0, 1, 0, 2, 1, 0, 5, 6, 1, 0, 12, 32, 12, 1, 0, 41, 160, 110, 20, 1, 0, 142, 856, 900, 280, 30, 1, 0, 685, 4816, 7231, 3360, 595, 42, 1, 0, 3192, 29952, 58632, 37856, 9800, 1120, 56, 1, 0, 19921, 199680, 493100, 416640, 147126, 24192, 1932, 72, 1
OFFSET
0,5
EXAMPLE
Triangle starts:
0: 1;
1: 0, 1;
2: 0, 2, 1;
3: 0, 5, 6, 1;
4: 0, 12, 32, 12, 1;
5: 0, 41, 160, 110, 20, 1;
6: 0, 142, 856, 900, 280, 30, 1;
7: 0, 685, 4816, 7231, 3360, 595, 42, 1;
8: 0, 3192, 29952, 58632, 37856, 9800, 1120, 56, 1;
MAPLE
gf := exp(x*exp(z)*tan(z)):
X := n -> series(gf, z, n+2):
Z := n -> n!*expand(simplify(coeff(X(n), z, n))):
A298213_row := n -> op(PolynomialTools:-CoefficientList(Z(n), x)):
seq(A298213_row(n), n=0..8);
CROSSREFS
T(n,1) = A009739(n), T(n,n) = A002378(n-1).
Row sums are A009248.
Cf. A075497.
Sequence in context: A269951 A176056 A373224 * A130191 A054651 A292323
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Jan 15 2018
STATUS
approved