-1295

Appears in sequences

• Expansion of e.g.f. exp(arcsin(x)/exp(x)).at n=8A013569
• a(n) = 1 - n^4.at n=6A024002
• Image of partition numbers (A000041) under "little Hankel" transform that sends [c_0, c_1, ...] to [d_0, d_1, ...] where d_n = c_n^2 - c_{n+1}*c_{n-1}.at n=18A056222
• Start with 1, add the next number if one gets a prime then add the next number else subtract the next...at n=52A074170
• Expansion of (1-x)/(1+x+2*x^2+x^3).at n=26A078051
• G.f. is 1/F, where x*F is g.f. for Fibonacci word (A003849).at n=57A080845
• Expansion of g.f. (1+x^2)/(1+x-x^3).at n=52A104770
• a(n) = (-1)^n*n*(n-2).at n=36A131386
• Expansion of (1-5*x-x^2+x^3)/((1+x)*(1-x)^3).at n=35A141354
• Numerator of Bernoulli(n, -2/3).at n=7A157811
• a(0)=0, a(1)=1, a(2)=2 and a(n) = a(n-1) - 2a(n-2) + a(n-3).at n=27A166117
• In general, let A(n,k,m) denote the (n,k)-th entry of the inverse of the matrix consisting of the (n,k)-th m-restrained Stirling numbers of the second kind (-1)^(n-k) times the number of permutations of an n-set with k disjoint cycles of length less than or equal to m, as the (n+1,k+1)-th entry. The sequence shows A(n,k,3), which is a lower triangular matrix, read by rows.at n=21A171998
• a(n) = Sum_{k=0..n} binomial(n,k)^2*binomial(n-k,k)^2*(-324)^k.at n=2A179536
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max{3i+j-3,i+3j-3} (A204008).at n=24A204011
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max(3i-2j, 3j-2i), as in A204158.at n=24A204159
• Sum of all parts of all partitions of n into an even number of parts minus the sum of all parts of all partitions of n into an odd number of parts.at n=36A235324
• a(n) = 1 - n^2.at n=36A258837
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 337", based on the 5-celled von Neumann neighborhood.at n=19A271288
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 437", based on the 5-celled von Neumann neighborhood.at n=19A272156
• Triangle T(n, m) appearing in the expansion of the scaled phase space coordinate qhat of the plane pendulum in terms of the Jacobi nome q and sin(v) multiplying even powers of 2*cos(v), with v = u/((2/Pi)*K(k)).at n=19A275790