-2587

Appears in sequences

• arctan(arcsin(arctan(x))) = x - 3/3!*x^3 + 57/5!*x^5 - 2587/7!*x^7 + 217137/9!*x^9 - ...at n=3A012090
• The trinomial transform (A027907) gives powers of 3, while the trinomial transform of this sequence shift one place left gives powers of 5.at n=10A101617
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 197", based on the 5-celled von Neumann neighborhood.at n=29A270719
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 221", based on the 5-celled von Neumann neighborhood.at n=25A270937
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 275", based on the 5-celled von Neumann neighborhood.at n=25A271094
• Triangle read by rows: T(n, k) = (-1)^(n - k) * binomial(2n + 1, n - k) * L(2k + 1), 0 <= k <= n, where L(k) is the k-th Lucas number (A000032).at n=26A326832
• G.f.: 1 / (1 + x + Sum_{k>=2} prime(k-1) * x^k).at n=35A346792