-1383

Appears in sequences

• Expansion of sin(sin(x))*cosh(x).at n=4A009476
• Expansion of sin(sin(x))*exp(x).at n=9A009477
• Expansion of e.g.f. exp(2x)*sech(x).at n=8A119880
• A triangle of coefficients of polynomials with roots as the Pi-digits base ten A000796(n)=d(n):d(1)=3; p(x,n)=-d(1)*Product[x-d(m),{m,2,n}].at n=16A152575
• Triangle defined by T(n, m) = -b(n) + b(m) + b(n-m), where b(n) = binomial(2*n, n)/(n + 1) = A000108(n), read by rows.at n=39A176602
• Triangle defined by T(n, m) = -b(n) + b(m) + b(n-m), where b(n) = binomial(2*n, n)/(n + 1) = A000108(n), read by rows.at n=41A176602
• Triangle read by rows: T(n,k) is the coefficient A_k in the transformation Sum_{k=0..n} (k+1)*x^k = Sum_{k=0..n} A_k*(x+3)^k.at n=17A246798
• Generalized Euler numbers: Square array read by descending antidiagonals, T(n, k) = k!*[x^k] exp(n*x)*sech(x), n>=0, k>=0.at n=57A247498
• Triangle read by rows, T(n,k) (n>=0, 0<=k<=n) coefficients of the partial fraction decomposition of rational functions generating the columns of A247498 (the Swiss-Knife polynomials evaluated at nonnegative integers).at n=37A247501
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 209", based on the 5-celled von Neumann neighborhood.at n=29A270894
• Expansion of 1 - x/(1 - x^3/(1 - x^6/(1 - x^10/(1 - x^15/(1 - x^21/(1 - ... - x^(n*(n+1)/2)/(1 - ...))))))), a continued fraction.at n=53A290976
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1 - j*x^j)^(j^k).at n=49A294587
• Expansion of e.g.f. log(1 + arctanh(x))*exp(-x).at n=6A297213
• A Seidel matrix A(n,k) read by antidiagonals downwards.at n=44A323834
• Expansion of the exponential generating function (tanh(x) - sech(x) + 1) * exp(x).at n=8A342161