-525

Appears in sequences

• Expansion of e.g.f. cos(x)/cosh(log(1+x)).at n=7A009108
• Expansion of e.g.f.: cosh(x)/cosh(log(1+x)).at n=7A009183
• Expansion of e.g.f.: cosh(log(x+1)-arcsin(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-525/7!*x^7...at n=7A013231
• Expansion of e.g.f.: sec(log(x+1)-arcsin(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-525/7!*x^7...at n=7A013232
• a(n)= Sum_{j=0..floor(n/2)} A073145(2*j + q), where q = 2*(n/2 - floor(n/2)).at n=25A074585
• Triangle of numerators of Integral_{x=0..1} LegendreP(m,x) * LegendreP(n,x) dx.at n=51A078297
• Signed array used for numerators of generating functions of the column sequences of array A090452.at n=32A091029
• G.f.: A(x) = Sum_{n>=0}a(n)/2^A004134(n)*x^n = limit_{n->oo} F(n)^(1/2^(n+1)) where F(n) is the n-th iteration of: F(0) = 1, F(n) = F(n-1)^2 + x^(2^n-1) for n>=1.at n=4A101191
• Coefficients of the B-Bailey Mod 9 identity.at n=62A104468
• Triangle T, read by rows, such that the matrix square, T^2, forms a simple 2-diagonal triangle where [T^2](n,n) = 1 and [T^2](n+1,n) = 2*(n+1) for n>=0.at n=31A113278
• Lower triangular array T(n,k) generator for group of arrays related to A001147 and A102625.at n=31A132382
• Triangle of trinomial logarithmic coefficients: A027907(n,k) = Sum_{i=0..k} T(k,i)*n^i/k!.at n=32A136590
• A triangular sequence of coefficients of a PolyLog functional polynomials: p(x,n) = 16*x^(n + 1)*PolyLog(-n, (1 - x)/(1 + x))/((1 + x)*(1 - x)).at n=20A142154
• Irregular triangle read by rows: coefficients of polynomials related to a family of convolutions of certain central binomial sequences.at n=29A142961
• Production array of A122848, read by row.at n=39A154557
• A(n,k,m) is the number of permutations of an n-set with k disjoint cycles of length less than or equal to m, called the (n,k)-th m-restrained Stirling numbers of the first kind, and denoted by mS_1(n,k). The sequence shows the case of m=3.at n=24A171996
• G.f.: Sum_{n>=0} (x^n - 1)^n * x^n / (1-x)^(n+1).at n=21A243919
• Coefficients of "optimum L" polynomials L_n(ω^2) ordered by increasing powers.at n=34A245320
• Nearest integer to n^2*sin(n).at n=35A274087
• Expansion of Product_{k>=1} (1 - x^(2*k))^(2*k)/(1 - x^(2*k-1))^(2*k-1).at n=28A281781