-1791

Appears in sequences

• Triangle, read by rows, where the n-th row lists the (2n+1) coefficients of (1 + x - 2*x^2)^n.at n=72A084612
• Expansion of 1/sqrt(1 - 2*x + 9*x^2).at n=8A098332
• Alternating sum of the cubes of the first n Fibonacci numbers.at n=7A119284
• Triangle T(n,k), n>=1, 0<=k<=n^2, read by rows: row n gives the coefficients of the chromatic polynomial of the rhombic hexagonal square grid graph RH_(n,n), highest powers first.at n=12A212162
• Triangle T(n,k), n>=1, 0<=k<=n^2, read by rows: row n gives the coefficients of the chromatic polynomial of the staggered hexagonal square grid graph SH_(n,n), highest powers first.at n=12A212194
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 57", based on the 5-celled von Neumann neighborhood.at n=25A270078
• Expansion of Product_{k>=1} (1 + x^(2*k-1))^(2*k-1)/(1 + x^(2*k))^(2*k).at n=37A284467
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of 1/sqrt(1 - 2*x + (1+4*k)*x^2).at n=63A307860
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of 1/sqrt(1 + 2*(k-1)*x + ((k+1)*x)^2).at n=63A307884
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = Sum_{j=0..n} (-k)^j * binomial(n,j)^k.at n=63A336201
• E.g.f. satisfies A(x)^2 * log(A(x)) = exp(x*A(x)) - 1.at n=6A355763