-715

Appears in sequences

• Coefficients of the 3rd-order mock theta function f(q).at n=52A000025
• Coefficient of q^(2n) in the series expansion of Ramanujan's mock theta function f(q).at n=26A000039
• Expansion of Product (1 - x^k)^10 in powers of x.at n=14A010818
• Expansion of Product_{k>=1} (1 - x^k)^13.at n=7A010820
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 5.at n=37A060024
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 6.at n=34A060025
• Staircase of coefficients of polynomials used for column g.f.s of triangle A060923.at n=22A061186
• Inverse binomial transform of Fibonacci oblongs.at n=12A084178
• Riordan array (1/(1+x)^3,x/(1+x)^2).at n=56A109954
• a(n) = a(n-1) + a(n-3) + a(n-4), n >= 4, with initial terms 1,1,-2,-1.at n=19A111571
• T(n,k) are coefficients used for power series inversion (sometimes called reversion), n >= 0, k = 1..A000041(n), read by rows.at n=60A111785
• a(n) = Fibonacci(n-1)^2 - Fibonacci(n)^2.at n=8A121646
• Triangle read by rows: T(0,0)=1; for n>=1 T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the n X n band matrix with main diagonal 2,3,3,..., subdiagonal -3,-3,-3,..., sub-subdiagonal 1,1,1,... and superdiagonal -1,-1,-1,... (0<=k<=n).at n=56A124019
• Row sums of triangle A132898.at n=25A132899
• Irregular triangle read by rows: the n-th row gives the coefficients of Phi(n, 1-x), where Phi(n, x) is the n-th cyclotomic polynomial.at n=67A140815
• Numerators of triangle S(n,k), n>=0, 0<=k<=ceiling((3n+1)/2): S(n,k) is the coefficient of x^k in polynomial s_n(x), used to define continuous and n times differentiable sigmoidal transfer functions.at n=59A144702
• Difference between sums of quadratic residues and non-residues modulo n (residues are not necessarily coprime to n).at n=54A255644
• Expansion of f(x^3, x^5) / f(x, x^3) in powers of x where f(, ) is Ramanujan's general theta function.at n=49A258741
• 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=13A270937
• 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=13A271094