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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 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.)