-6300

Appears in sequences

• Expansion of cosh(log(1+x)*cosh(x)).at n=7A009134
• Expansion of exp(log(1+x)/cosh(x)).at n=8A009197
• E.g.f. arcsin(log(x+1)-tan(x))=-1/2!*x^2-6/4!*x^4+8/5!*x^5-135/6!*x^6...at n=8A013235
• sinh(log(x+1)-tan(x)) = -1/2!*x^2 - 6/4!*x^4 + 8/5!*x^5 - 135/6!*x^6 + ...at n=8A013239
• Determinant of the symmetric n X n matrix A defined by A[i,j] = abs(i^2 - j^2) for 1 <= i,j <= n.at n=3A085799
• a(n) = determinant of upper left n X n matrix A_n of matrix A088745, where A_n has elements 1..n^2 with abs(det(A_n)) = max by adding elements on the lower and right border.at n=3A088746
• Triangle, row sums = A008683, the Mobius sequence.at n=61A124840
• E(n,k), an additive decomposition of the Euler number (triangle read by rows).at n=32A154341
• Triangle T(n, k) = n! * binomial(n, k)*( psi(n-k+1) - psi(k+1) ), read by rows.at n=25A157521
• Triangle T(n, k, q) = c(n,q)/( c(k,q)*c(n-k,q) ), where c(n, q) = Product_{j=1..n} f(n, q), f(n, q) = ( (1-q^n)*(1+(-1)^n) + n!*(1-(-1)^n) )/2, and q = 2, read by rows.at n=24A172427
• Triangle T(n,m) = coefficient of x^n in expansion of x^m*(x+1)^(m*x) = sum(n>=m, T(n,m) x^n*m!/n!).at n=22A202183
• Triangle read by rows, coefficients of the Bernoulli nabla polynomials BN_{n}(x) times A144845(n) in descending order of powers.at n=50A213616
• Expansion of f(-q)^10 / f(-q^5)^2 in power of q where f() is a Ramanujan theta function.at n=24A243939
• Coefficients of the Omega polynomials of order 2, triangle T(n,k) read by rows with 0<=k<=n.at n=19A318146
• Triangle read by rows: T(n,k) = (-1)^(n+k)*(n+k+1)*binomial(n,k)*binomial(n+k,k) for n >= k >= 0.at n=19A331431
• Coefficients of the partition polynomials that are binomial convolutions of the partition polynomials of A133314, the refined Euler characteristic polynomials of the permutahedra and coefficient polynomials of reciprocals of Taylor series or e.g.f.s. Irregular triangle read by rows with length given by A000041.at n=34A356146
• G.f. A(x) satisfies [x^(2*n)] A(x)^(3*n) = 3 and [x^(2*n+1)] A(x)^(3*n+1) = [x^(2*n+1)] A(x)^(3*n+2) for n >= 1.at n=8A377095