-3150

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^9 in powers of x.at n=16A001487
• Coefficients of unitary Hermite polynomials He_n(x).at n=59A066325
• Triangle read by rows. The triangle is constructed from the coefficients of the n-th derivative of the normal probability distribution function.at n=61A073278
• Coefficients of polynomial in x multiplying sinh(x) in the modified spherical Bessel function of the first kind i_n(x).at n=27A094674
• Irregular triangle T(n,k) of nonzero coefficients of the modified Hermite polynomials (n >= 0 and 0 <= k <= floor(n/2)).at n=32A096713
• Matrix inverse of triangle A001497 of Bessel polynomials, read by rows; essentially the same as triangle A096713 of modified Hermite polynomials.at n=51A104556
• Exponential Riordan array (1, sqrt(1+2x)-1).at n=41A122850
• Irregular triangle read by rows: T(n,k) (n>=1, 0<=k<=n(n-1)/2) is such that Sum_k T(n,k)*p^(n*(n-1)/2-k) gives the expectation of the number of connected components after deleting every edge of the complete graph on n labeled vertices with probability p.at n=67A125209
• Triangle T(n,k) read by rows: the coefficient [x^k] of the polynomial (n-1)! *sum_{i=0..n} Fibonacci(i)*binomial(x,n-i), read by rows, 0<=k<n.at n=51A139167
• Triangle T(n, k) = binomial(n, k) * Sum_{j=k..n} StirlingS1(n, j)*StirlingS1(j, k), read by rows.at n=11A142472
• T(n,k) an additive decomposition of the signed tangent number (triangle read by rows).at n=34A154342
• Triangle T(n,k) read by rows: coefficient [x^(n-k)] of the characteristic polynomial of the n X n matrix A(r,c)=1 (if c > r) and A(r,c)=c (if c <= r).at n=39A158359
• Triangle interpolating between (-1)^n (A033999) and the swinging factorial function (A056040) restricted to odd indices (2n+1)$ (A002457), read by rows.at n=19A163945
• Coefficient array of orthogonal polynomials whose moment sequence is the double factorial numbers A001147.at n=17A176231
• Expansion of (1-240*x)^(1/8).at n=2A303007
• Triangle read by rows: T(n, k) = (-1)^(k+1)*binomial(n,k)*binomial(n+k,k) (n >= k >= 0).at n=25A331430
• Dirichlet inverse of A341529, where A341529(n) = sigma(n) * A003961(n), and A003961 is fully multiplicative with a(prime(i)) = prime(i+1).at n=44A378229
• Series expansion of the exponential generating function exp(arbustive(x)) - 1 where arbustive(x) = (log(1+x) - x^2) / (1+x).at n=7A383992