99367

Properties

Appears in sequences

• Primes that are concatenations of k-th composite and k-th prime.at n=18A038532
• Class 7+ primes.at n=27A081635
• Triangle T, read by rows, such that T(n,k) equals the (n-k)-th row sum of T^k, where T^k is the k-th power of T as a lower triangular matrix.at n=57A091351
• Row sums of the matrix square of triangle A091351, in which the k-th column lists the row sums of A091351^k (the k-th power of A091351 when considered as a lower triangular matrix).at n=8A091353
• Triangle, read by rows, such that T(n,k) equals the k-th term of the convolution of the (n-1)-th diagonal with the k-th row of this triangle.at n=63A098446
• Triangular matrix T, read by rows, that satisfies: SHIFT_LEFT_UP(T) = T^2 - T + I, or, equivalently: T(n+1,k+1) = [T^2](n,k) - T(n,k) + [T^0](n,k) for n>=k>=0, with T(0,0)=1.at n=68A104445
• a(0) = 1. a(n+1) = sum{k=0 to n} a(n-k)*a(ceiling(k/2)).at n=16A127681
• Primes p such that (p-a)*(p+a)-+a*p and (p-b)*(p+b)-+b*p are primes, a=2,b=3.at n=6A155010
• Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,3,1,1,0 for x=0,1,2,3,4.at n=7A197499
• T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,3,1,1,0 for x=0,1,2,3,4.at n=58A197503
• Primes of the form 3*m^2 - 5.at n=29A201717
• Number of Dyck paths of semilength n avoiding all five consecutive patterns of Dyck paths of semilength 3.at n=16A243986
• a(n) = numerator of (1/n^3)*(-1/(n+1) + 16/(n+2) + 3/(4*(2*n+1)) - 81/(4*(2*n+3))), term of a BBP-type series representation of zeta(3) by V. Adamchik and S. Wagon.at n=25A256323
• Prime numbersat n=9536