-499

Appears in sequences

• sin(sec(x)*arcsinh(x))=x+1/3!*x^3+5/5!*x^5-499/7!*x^7-12055/9!*x^9...at n=3A012822
• Triangle of coefficients of certain polynomials used with prime numbers as variables in the computation of the array A103728.at n=16A103718
• Coefficients of the B-Rogers-Selberg identity.at n=53A104409
• a(n+3) = 2a(n+2) - 3a(n+1) + 2a(n); a(0) = 1, a(1) = -1, a(2) = -2.at n=17A105225
• G.f.: 1/(Sum_{k>=0} (k!)^2 x^k).at n=4A113871
• Row sums of A129392.at n=7A129393
• a(n) = (-4*n^3 + 27*n^2 - 20*n + 3)/3.at n=10A161711
• Numerator of the n-th term of the inverse Binomial Transform of the Bernoulli sequence prefixed with 0.at n=6A174263
• Logarithmic derivative of the q-exponential of x, E_q(x,q), evaluated at q=-x.at n=20A198262
• a(n) = A256357(n^2), where exp( Sum_{n>=1} A256357(n)*x^n/n ) = 1 + Sum_{n>=1} x^(n^2) + x^(2*n^2).at n=15A258655
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 97", based on the 5-celled von Neumann neighborhood.at n=13A270155
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 353", based on the 5-celled von Neumann neighborhood.at n=13A271308
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 393", based on the 5-celled von Neumann neighborhood.at n=15A271605
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 429", based on the 5-celled von Neumann neighborhood.at n=13A272114
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 465", based on the 5-celled von Neumann neighborhood.at n=17A272317
• Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of 1/(Sum_{j>=0} (j!)^k * x^j).at n=25A306629
• Deficiency computed for conjugated prime factorization: a(n) = A033879(A122111(n)).at n=56A323174
• Product_{n>=1} 1 / (1 - a(n)*x^n) = 1 + Sum_{n>=1} x^prime(n).at n=61A348127
• a(n) = Sum_{k=1..n} (-1)^(k-1) * binomial(k+2,3) * floor(n/k).at n=15A366938
• Deficiency of squares: a(n) = 2n^2 - sigma(n^2).at n=23A377879