-1001

Appears in sequences

• Triangle of coefficients of Euler polynomials E_2n(x) (exponents in increasing order).at n=58A004172
• Triangle of coefficients of Euler polynomials E_2n(x) (exponents in decreasing order).at n=54A004173
• McKay-Thompson series of class 12a for Monster.at n=7A058489
• Coefficients of even-indexed Euler polynomials (falling powers without zeros).at n=31A060082
• Coefficients of even-indexed Euler polynomials (rising powers without zeros).at n=32A060083
• Triangle of coefficients of characteristic polynomial of M_n, the n X n matrix M_(i,j) = min(i,j).at n=49A076756
• Riordan array (1,c(-x)), where c(x) = g.f. of Catalan numbers.at n=60A099039
• Third convolution of A115140.at n=9A115142
• Fifth convolution of A115140.at n=10A115144
• a(n) = a(n - 1) - 2*a(n - 2) + a(n - 3) - 4*a(n - 4) + 2*a(n - 5).at n=20A122581
• Triangle read by rows: T(0,0)=1; T(n,k) is the coefficient of x^(n-k) in the monic characteristic polynomial of the n X n matrix (min(i,j)) (i,j=1,2,...,n) (0 <= k <= n, n >= 1).at n=50A123970
• a(n) = 7 + 12*n - 6*n^2.at n=14A157517
• a(n) = (-n^3 + 9n^2 - 5n + 3)/3.at n=18A161702
• Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A168491.at n=49A171567
• Triangle Id-(xc(x),xc(x)), c(x) the g.f. of the Catalan numbers A000108.at n=47A181645
• Inverse of eigentriangle of triangle A085478.at n=60A186024
• Sum of the n-th antidiagonal in the triangle A192011.at n=42A198862
• a(n) = 13*a(n-1) - 65*a(n-2) + 156*a(n-3) - 182*a(n-4) + 91*a(n-5) - 13*a(n-6), with initial terms 0, -2, -9, -44, -215, -1001.at n=5A216861
• Coefficient triangle for powers of x^2 of polynomials appearing in a generalized Melham conjecture on alternating sums of third powers of Chebyshev's S polynomials with odd indices. Coefficients in powers of x^2 of 2 + (-1)^n*S(2*n,x).at n=50A220670
• Values of n such that L(6) and N(6) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=6A226926