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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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..54.

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: A133336 A269951 A176056 * A130191 A054651 A292323

Adjacent sequences:  A298210 A298211 A298212 * A298214 A298215 A298216

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Jan 15 2018

STATUS

approved

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Last modified January 25 19:09 EST 2020. Contains 331249 sequences. (Running on oeis4.)