-395

Appears in sequences

• Expansion of psi(x) / phi(x) in powers of x where phi(), psi() are Ramanujan theta functions.at n=21A083365
• a(n) = Sum_{k=0..n} A105595(k)*(-1)^k*A105595(n-k) (interpolated zeros suppressed).at n=32A105596
• The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n. 0<r<=n. e.g. the row corresponding to 4 contains 4, (3+2),{(1) +(0)+(-1)}, {(-2)+(-3)+(-4)+(-5)} ----> 4,5,0,-14 1 2 1 3 3 -3 4 5 0 -14 5 7 3 -10 -35 6 9 6 -6 -30 -69 ... Sequence contains the array by rows.at n=54A110425
• The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n. 0 < r <= n. Sequence contains the leading diagonal.at n=9A110427
• Numerator of Bernoulli(n, 2/7).at n=5A158507
• a(n) = floor(d(n)/18^(n-1)) where d(n) = 0, 1, -8, 352, -5120,.. and d(n) = -8*d(n-1) +288*d(n-2).at n=38A174427
• Triangular array T read by rows: T(n, k) = Sum_{i=0..2*n-2*k} binomial(2*n-2*k, i)*binomial(2*k, i)*(-1)^i, 0 <= k <= n.at n=69A184879
• Values of n such that L(1) and N(1) 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=34A226921
• Values of n such that L(8) and N(8) 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=3A226928
• Values of n such that L(16) and N(16) 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=3A227519
• a(n) = Sum_{i=0..n-1} K(i,n)*i, where K(,) is Kronecker symbol.at n=78A228131
• The c coefficients of the transform a*x^2 + (4*a/k - b)*x + 4*a/k^2 + 2*b/k + c = 0 for a,b,c = 1,-1,-1, k = 1,2,3...at n=20A229526
• Expansion of 1 / (1 + x^4 - x^5) in powers of x.at n=50A247919
• Difference between sums of quadratic residues and non-residues modulo n that are coprime to n.at n=78A255643
• Difference between sums of quadratic residues and non-residues modulo n (residues are not necessarily coprime to n).at n=78A255644
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 201", based on the 5-celled von Neumann neighborhood.at n=13A270723
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 491", based on the 5-celled von Neumann neighborhood.at n=15A272542
• Expansion of f(-x)^3 * f(-x^2) * chi(-x^3)^3 in powers of x where chi(), f() are Ramanujan theta functions.at n=47A280328
• Expansion of 1/(Sum_{i>=0} q^(i^2)/Product_{j=1..i} (1 - q^j + q^(2*j))).at n=47A294598
• Expansion of Product_{k>=1} 1/(1 + x^k)^(k*(k+1)/2).at n=14A294846