-967

Appears in sequences

• Diagonal sums of Riordan array (1-x-x^2,x(1-x)).at n=27A109266
• Expansion of q*psi(q^9)/psi(q) in powers of q.at n=31A124243
• Expansion of q * f(q^9)^3 * phi(q) / (f(q^3) * phi(q^3)^3) in powers of q where f(), phi() are Ramanujan theta functions.at n=15A164269
• Expansion of f(x^3)^3 * phi(x^3) / (f(x) * phi(x)^3) in powers of x where f(), phi() are Ramanujan theta functions.at n=5A164270
• a(0)=1, a(1)=1; thereafter a(n) = -a(n-1) - 2*a(n-2).at n=21A169998
• Triangle T(n, k, q) = (1-q^n)*( binomial(n, k) - 1 ) + 1, with q = 3, read by rows.at n=16A174719
• Triangle T(n, k, q) = (1-q^n)*( binomial(n, k) - 1 ) + 1, with q = 3, read by rows.at n=19A174719
• Prime-generating polynomial: a(n) = 4*n^2 + 12*n - 1583.at n=11A182409
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of (f(i,j)), where f(i,1)=f(1,j)=1, f(i,i)=2i-1; f(i,j)=0 otherwise; as in A204181.at n=32A204182
• Values of the prime-generating polynomial 4*n^2 - 284*n + 3449.at n=23A210626
• Expansion of (2 + x + x^2 + x^3 - x^4 - 2*x^5 - 4*x^6 - 8*x^7) / (1 - x^4 + 16*x^8) in powers of x.at n=23A247487
• a(n) = 3*a(n-1) - 4*a(n-2) with a(0) = a(1) = 1.at n=11A247560
• a(n) = 3*a(n-2) - 4*a(n-4) with a(0) = 2, a(1) = 1, a(2) = 3, a(3) = 1.at n=23A247564
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 81", based on the 5-celled von Neumann neighborhood.at n=17A270101
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 165", based on the 5-celled von Neumann neighborhood.at n=17A270460
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 339", based on the 5-celled von Neumann neighborhood.at n=17A271292
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 497", based on the 5-celled von Neumann neighborhood.at n=19A272559
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 499", based on the 5-celled von Neumann neighborhood.at n=19A272563
• E.g.f.: Integral exp(-x*tanh(x)) / cosh(x) dx.at n=3A354020
• Deficiency of squares: a(n) = 2n^2 - sigma(n^2).at n=55A377879