-550

Appears in sequences

• Expansion of e.g.f.: cos(arctan(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+13/4!*x^4-20/5!*x^5...at n=6A012964
• McKay-Thompson series of class 44a for Monster.at n=29A058680
• The q expansion of Lambda^5, a Hauptmodul for Gamma_1(5).at n=15A078905
• Expansion of chi(x) / phi(x^2) in powers of x where phi(), chi() are Ramanujan theta functions.at n=27A085261
• Triangle read by rows: T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the n X n matrix with 2's on the diagonal and 1's elsewhere (n >= 1 and 0 <= k <= n). Row 0 consists of the single term 1.at n=68A103283
• Matrix inverse of triangle A104505, which is the right-hand side of triangle A084610 of coefficients in (1 + x - x^2)^n.at n=56A104509
• Expansion of x^2*(-1+x+x^2)/(-1+x+x^2-x^3+x^5).at n=24A107332
• Triangular matrix T, read by rows, that satisfies: [T^-k](n,k) = -T(n,k-1) for n >= k > 0, or, equivalently, (column k of T^-k) = -SHIFT_LEFT(column k-1 of T) when zeros above the diagonal are ignored. Also, matrix inverse of triangle A107876.at n=30A107889
• Triangle T, read by rows, where row n of T equals row n of matrix (n+1)-th power of triangle A112555.at n=61A113287
• Inverse Euler transform of A118052.at n=53A118054
• Expansion of 1 - (1/3) * b(q) * b(q^2) * c(q)^2 / c(q^2) in powers of q where b(), c() are cubic AGM functions.at n=27A132001
• Triangle read by rows: coefficients of the alternating factorial polynomial (x+1)(x-2)(x+3)(x-4)...(x+n*(-1)^(n-1)).at n=51A140956
• Expansion of a(q) * f(-q)^4 where f() is a Ramanujan theta function and a() is a cubic AGM function.at n=54A152243
• Inverse of Fibonacci convolution array A154929.at n=41A154930
• Irregular triangle T(n, k) = ((-1)^(k+1)/2)*Sum_{j=0..n-2*k} binomial(n+2, j)*binomial(n+2, j+k+1)* binomial(n+2, j+2*k+2), read by rows.at n=4A158193
• Triangle read by rows: row n gives (coefficients * n!) in expansion of pieces k=0..n-1 of the cumulative distribution function for the Irwin-Hall distribution, lowest powers first.at n=61A188668
• Expansion of eta(q)^5 * eta(q^3) * eta(q^6)^4 / eta(q^2)^4 in powers of q.at n=27A214262
• Triangle read by rows, T(n,k) is difference of column sum and row sum of natural numbers filled in n x n square.at n=65A237444
• Difference between sums of quadratic residues and non-residues modulo n (residues are not necessarily coprime to n).at n=43A255644
• Expansion of Product_{k>=1} (1 + x^(2*k-1))^(2*k-1)/(1 + x^(2*k))^(2*k).at n=26A284467