4729725

Appears in sequences

• Exponential generating function: (1+3*x)/(1-2*x)^(7/2).at n=6A000457
• Triangle of coefficients of Bessel polynomials (exponents in decreasing order).at n=48A001497
• Triangle a(n,k) (n >= 0, 0 <= k <= n) of coefficients of Bessel polynomials y_n(x) (exponents in increasing order).at n=51A001498
• a(n) = -(-1)^n*2*(2*n+1)!*Bernoulli(2*n)/(n!*2^n).at n=6A004193
• Triangle of coefficients of Bessel polynomials {y_n(x)}'.at n=40A065931
• Triangle of coefficients of Bessel polynomials {y_n(x)}''.at n=32A065943
• Denominator of b(n) = Sum_{k=1..n} (-1)^(k+1)/k*Sum_{i=0..k-1} (-1)^i/(2*i+1).at n=6A073595
• Denominator of b(n) = Sum_{k=1..n} (-1)^(k+1)/k*Sum_{i=0..k-1} (-1)^i/(2*i+1).at n=7A073595
• Triangle formed from coefficients of the polynomials p(1)=x, p(n+1) = (n + x*(n+1))*p(n) + x*x*(d/dx)p(n).at n=34A075856
• Triangle T(n,k) read by rows: multiply row n of Pascal's triangle (A007318) by A001147(n).at n=31A085881
• Triangle T(n,k) read by rows: multiply row n of Pascal's triangle (A007318) by A001147(n).at n=32A085881
• Coefficients of polynomial in x multiplying cosh(x) in the modified spherical Bessel function of the first kind i_n(x).at n=46A094675
• 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=34A097749
• Where A098018(k)=n.at n=28A098869
• a(n) = denominator of Product_{k=1..n} (1 + {n/k}), where {x} is the fractional part of x, {x} = x - floor(x).at n=15A128779
• Triangle of Ward numbers T(n,k) read by rows.at n=34A134991
• Triangle of Ward numbers T(n,k) (n>=0, k=0 if n=0, otherwise 0 <= k <= n-1) read by rows.at n=30A181996
• Triangle read by rows: T(0,0)=1; T(m,0)=0; otherwise T(m,n) = (m-1)*T(m-1,n)+(m-1+n)*T(m-1,n-1).at n=43A239098
• If n is even then a(n) = n!/( 2^(n/2)*(n/2)! ), otherwise a(n) = n!/( 3*2^((n-1)/2)*((n-3)/2)! ).at n=13A259877
• Numerator of 1/det(M) where M is the n X n matrix with M[i,j] = 1/gcd(i,j).at n=15A260908