-625

Appears in sequences

• E.g.f.: cos(arctanh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-31/4!*x^4-140/5!*x^5...at n=6A012714
• Expansion of 1/((1-x)*(1+x+2*x^2+x^3)).at n=30A077913
• Alternating partial sums of A000217.at n=49A083392
• Expansion of (1 + sqrt(1 + 4x))/(2(1 + x)).at n=8A099324
• Triangle read by rows: Coefficients of characteristic polynomials of lower triangular matrix of Catalan numbers.at n=28A101413
• G.f. satisfies: A(x) = 1/(1 + x*A(x^3)) and also the continued fraction: 1+x*A(x^4) = [1;1/x,1/x^3,1/x^9,1/x^27,...,1/x^(3^(n-1)),...].at n=19A101913
• Expansion of (x+1)*(1-3*x)/((x^2+4*x+1)*(x^2-2*x-1)).at n=4A111645
• Generalized Pascal's triangle made using Mod[(Prime[n] - 1)/2, 4] == 2 primorial-like Stirling polynomials.at n=54A119724
• Triangle T(n, k) = k^4 - n^4 + 2*k*n*(1 - k^2*n^2), read by rows.at n=15A123963
• Triangular table containing values of coefficients of the characteristic polynomial of a certain n x n circulant matrix, read by rows.at n=18A127412
• Expansion of q^(-3/4) * eta(q)^2 * eta(q^2)^4 * eta(q^8)^4 / eta(q^4)^6 in powers of q.at n=18A135467
• a(n) = 3/8 + (3/8)*(-1)^n + ((n+1)/4)*(-1)^(n+1) + ((n+2)*(n+1)/4)*(-1)^(n+2).at n=49A152032
• Triangle T(n,k) read by rows: T(n,n) = -1, T(n,0) = 5^(n - 1), T(n,k) = -5^(n - k - 1), 1 <= k <= n - 1.at n=22A152572
• Triangle T(n,k) read by rows: T(n,n) = -1, T(n,0) = 5^(n - 1), T(n,k) = -5^(n - k - 1), 1 <= k <= n - 1.at n=30A152572
• Triangle T(n,k) read by rows: T(n,n) = -1, T(n,0) = 5^(n - 1), T(n,k) = -5^(n - k - 1), 1 <= k <= n - 1.at n=39A152572
• Triangle T(n,k) read by rows: T(n,n) = -1, T(n,0) = 5^(n - 1), T(n,k) = -5^(n - k - 1), 1 <= k <= n - 1.at n=49A152572
• Triangle read by rows: vector recursion: s=5; v(n)={s^(n+1),s^(n+1)-Sum[s^i,{i,2,n}],s^n,...,-1}/s^2.at n=23A152862
• Triangle read by rows: vector recursion: s=5; v(n)={s^(n+1),s^(n+1)-Sum[s^i,{i,2,n}],s^n,...,-1}/s^2.at n=31A152862
• Triangle read by rows: vector recursion: s=5; v(n)={s^(n+1),s^(n+1)-Sum[s^i,{i,2,n}],s^n,...,-1}/s^2.at n=40A152862
• Perfect powers (m^k where m is an integer and k >= 2) multiplied by -1 when m is prime for largest k (m^k thus a prime power).at n=33A157985