-10395

Appears in sequences

• Expansion of Product_{k>=1} (1 - x^k)^21.at n=8A010827
• 2-adic factorial function.at n=11A055634
• Coefficients of unitary Hermite polynomials He_n(x).at n=67A066325
• Triangle of coefficients of numerators of powers of e^2 in Sum_{k>=1} {1 / (1 + (k+1/2)^2*Pi^2)^n} + {4^n / (4+Pi^2)^n}.at n=34A085471
• Row 4 of array in A288580.at n=11A092398
• Coefficients of polynomial in x multiplying cosh(x) in the modified spherical Bessel function of the first kind i_n(x).at n=22A094675
• Irregular triangle T(n,k) of nonzero coefficients of the modified Hermite polynomials (n >= 0 and 0 <= k <= floor(n/2)).at n=36A096713
• Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows. Let A(n,k) be the triangle in A097474. Then T(n,k) is defined by the orthogonality relations Sum_{j=i..r} T(r,j)*A(j,i)*2^-floor((j+3)/2) = 0 if i != r, = (2r+1)!/(r!*2^r) if i = r.at n=16A097749
• Matrix inverse of triangle A001497 of Bessel polynomials, read by rows; essentially the same as triangle A096713 of modified Hermite polynomials.at n=60A104556
• Triangle, read by rows, where T(0,0) = 1, T(n,k) = (-1)^n*(2n+1)*T(n-1,k) - T(n-1,k-1).at n=15A108083
• Exponential Riordan array (1, sqrt(1+2x)-1).at n=30A122850
• a(n) = n!*b(n) where b(n) = (n-4)*b(n-2)/(n*(n-1)) and b(0) = b(1) = 1.at n=15A123022
• Q(2,n), where Q(m,k) is defined in A127080 and A127137.at n=11A127144
• Lower triangular array T(n,k) generator for group of arrays related to A001147 and A102625.at n=28A132382
• Coefficients of polynomials based on the generalized factorial at k=2 (A001147): b(n)=b(n-1+k; a(n)=b(n)*a(n-1); p(x,n)=If[n == 0, 1, a(n - 1)*(x - a(n - 1))*Product[x + 1/b(i), {i, 1, n - 1}]].at n=21A144457
• Triangle T(n, k, m) = t(n,m)/( t(k,m) * t(n-k,m) ) with T(n, 0, m) = T(n, n, m) = 1, where t(n, m) = Product_{j=1..n} Product_{i=1..j-1} ( 1 - (m+1)*(i+1) ) and m = 1, read by rows.at n=22A156690
• Triangle T(n, k, m) = t(n,m)/( t(k,m) * t(n-k,m) ) with T(n, 0, m) = T(n, n, m) = 1, where t(n, m) = Product_{j=1..n} Product_{i=1..j-1} ( 1 - (m+1)*(i+1) ) and m = 1, read by rows.at n=26A156690
• E.g.f. A(x) satisfies: (A(x)^2 - 4*x)^4 = (2 - A(x)^4)^2.at n=6A249789
• Triangle used for the integral of odd powers of the sine and cosine functions.at n=27A254932