-7104
domain: Z
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=6A071543
- Duplicate of A071543.at n=6A092417
- Riordan array ((3-sqrt(1+8x))/2, (sqrt(1+8x)-1)/4).at n=30A122440
- 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=17A137405
- a(n) = n*(a(n-1)-4), a(0) = 1.at n=6A166680
- Sequence arising from study of multiplicative complexity of symmetric functions over a field with characteristic p.at n=33A250109
- 1-gonal pyramidal numbers.at n=35A254749
- Expansion of r(q)^2 / r(q^2) in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=51A285349
- 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=34A350200