-2049

Appears in sequences

• A sequence of triples arising from a matrix calculation, in particular let m = floor(n/3), then (a(3*m), a(3*m+1), a(3*m+2)) = M^(m*(m+1)/n) * (0, 1, 1) where M is the matrix [[2,0,1], [0,1,0], [-2,1,0]].at n=20A103193
• Matrix inverse square-root of triangle A105615.at n=50A105620
• a(2*n) = -(2^(2*n+1) + 1), a(2*n+1) = (2^(n+1) - (-1)^n)^2.at n=10A105951
• a(n) = (-2*I)^n + (2*I)^n + (1/2 + 1/2*I*sqrt(3))^n + (1/2 - 1/2*I*sqrt(3))^n.at n=10A153265
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 141", based on the 5-celled von Neumann neighborhood.at n=25A270285
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 427", based on the 5-celled von Neumann neighborhood.at n=35A272110
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 443", based on the 5-celled von Neumann neighborhood.at n=31A272228
• Expansion of e.g.f. (1 + sin(x))/exp(x).at n=23A321632
• a(n) = Sum_{d divides n} (-1)^(d + n/d) * d^11.at n=1A321808
• Dirichlet inverse of function f(n) = 1 + A048675(n), where A048675(n) is fully additive with a(p) = 2^(1-PrimePi(p)).at n=36A359795
• Dirichlet inverse of A005941.at n=36A364574