-500

Appears in sequences

• Expansion of e.g.f.: sec(tan(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+115/4!*x^4-500/5!*x^5...at n=5A012934
• sec(arctanh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+115/4!*x^4-500/5!*x^5...at n=5A013165
• Expansion of (1-25*x)^(4/5).at n=3A049390
• n(n+180) is a square.at n=2A067632
• Determinant of n X n matrix M(n) where m(i,i)=i if i>j, m(i,j)=i-j if j>i, m(i,j)=j-i.at n=6A078994
• G.f. A(x) satisfies: A(x)^2 equals the g.f. of A110637, which consists entirely of numbers 1 through 8.at n=16A112571
• Coefficient triangle of numerator polynomials appearing in certain column o.g.f.s related to the H-atom spectrum.at n=12A120078
• Coefficient triangle of numerator polynomials appearing in certain column o.g.f.s related to the H-atom spectrum.at n=17A120078
• Coefficients of the polynomials of a three level Hadamard matrix substitution set based on the game matrix set: MA={{0,1},{1,1}};MB={{1,0},{3,1}} Substitution rule is for m[n]:If[m[n - 1][[i, j]] == 0, {{0, 0}, {0, 0}}, If[m[n - 1][[i, j]] == 1, MA, MB]] Based on the Previte idea of graph substitutions as applied to matrices of graphs in the Fibonacci/ anti-Fibonacci game.at n=29A134265
• Triangular array of the coefficients of the sequence of Abel polynomials A(n,x) := x*(x-n)^(n-1).at n=17A137452
• Numerator of Hermite(n, 2/3).at n=4A158903
• Totally multiplicative sequence with a(p) = 5*(p-3) for prime p.at n=45A167315
• Totally multiplicative sequence with a(p) = 5*(p-3) for prime p.at n=49A167315
• Signed Delannoy triangle convolved with 10^n.at n=7A178870
• Chapman's "evil" determinants I.at n=22A179071
• A179071 for p == 1 (mod 4).at n=9A179073
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of ceiling((i+j)/2), as in A204166.at n=61A204167
• Difference between 4^n and the nearest triangular number.at n=10A238455
• Triangle read by rows: coefficients T(n,k) of a binomial decomposition of 1 as Sum_{k=0..n} T(n,k)*binomial(n,k).at n=19A244118
• For any composite number n with more than a single prime factor, take the polynomial defined by the product of the terms (x-pi)^ei, where pi are the prime factors of n with multiplicities ei. Integrate this polynomial from the minimum to the maximum value of pi. This sequence lists the values of the integrals that are integer.at n=9A245435