45248

Appears in sequences

• a(n) = det M_n where M_n is the n X n matrix m(i,j) = prime(i+j); a(0) = 1 by convention.at n=7A071543
• Duplicate of A071543.at n=7A092417
• Triangular sequence from coefficients of characteristic polynomial of n X n prime element matrices: M=A.B.A^(-1); (A(3) is singular): examples; A(4)= {{2, 3, 5, 7, 11}, {3, 5, 7, 11, 13}, {5, 7, 11, 13, 17}, {7, 11, 13, 17, 19}, {11, 13, 17, 19, 23}} B(4)= {{3, 5, 7, 11, 13}, {5, 7, 11, 13, 17}, {7, 11, 13, 17, 19}, {11, 13, 17, 19, 23}, {13, 17, 19, 23, 29}}.at n=24A137405
• First differences of the dying rabbits sequence A000044.at n=25A191869
• Triangle T(n,k), n>=0, 0<=k<=C(n,2), read by rows: T(n,k) = number of k-length chains in the poset of Dyck paths of semilength n ordered by inclusion.at n=22A193629
• Number of (n+1)X(5+1) 0..2 arrays with the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=11A237634
• Array read by antidiagonals: T(n,k) is the determinant of the Hankel matrix of the 2*n-1 consecutive primes starting at the k-th prime, n >= 0, k >= 1.at n=43A350200
• Diagonal of rational function 1/(1 - (1 + x*y) * (x^2 + y^2)).at n=13A361726