-237

Appears in sequences

• Inverse binomial transform of primes.at n=9A007442
• Shifts left when Moebius transformation applied twice.at n=31A007551
• Expansion of e.g.f. cos(sinh(x)*exp(x)).at n=6A009061
• 9th differences of primes.at n=0A036270
• McKay-Thompson series of class 20c for Monster.at n=61A058558
• a(n) = 5^n*cos(2*n*arctan(1/2)) or denominator of tan(2*n*arctan(1/2)).at n=5A066771
• Expansion of (1-x)/(1+2*x+x^2+x^3).at n=9A078065
• G.f.: Product_{m>=1} 1/(1+x^m)^A000009(m).at n=27A089254
• T(n,0) = prime(n), T(n,k) = T(n,k-1)-T(n-1,k-1), 0<=k<n, triangle read by rows.at n=54A095195
• Triangle T, read by rows, such that column k equals column 0 of T^(k+1), where column 0 of T allows the n-th row sums to be zero for n>0 and where T^k is the k-th power of T as a lower triangular matrix.at n=41A101897
• Let M be a diagonal matrix with A007442 on the diagonal and P = Pascal's triangle as an infinite lower triangular matrix. Now read the triangle P*M by rows.at n=54A124800
• Numerator of imaginary part of (3*i - 1)^(-n).at n=10A124871
• Triangle read by rows: row n gives coefficients of increasing powers of x in the polynomial (-1)^n*p(n), where p(n) is defined as follows. Let f(n) = n*(n+1)/2, g(n) = f(n)+1; then p(-1) = 0, p(0) = 1 and for n >= 1, p(n) = (x - f(n))*p(n - 1) - g(n - 1)^2*p(n - 2).at n=18A135049
• Triangle read by rows: T(n, k) = (-1)^(n+k) * A060187(n+1, k+1).at n=19A138076
• Real part of (2 + i)^n, where i = sqrt(-1).at n=10A139011
• Imaginary part of (4 + 3i)^n.at n=4A139031
• Expansion of phi(x^3) / psi(x) in powers of x where phi(), psi() are Ramanujan theta functions.at n=57A143066
• Triangle formed by coefficients of the expansion of p(x,n) = (1+x-x^2)^(n+1)*Sum_{j >= 0} (2*j+1)^n*(-x + x^2)^j.at n=26A156918
• Expansion of 1/((1 +x +x^2)^2 *(1 +x^2 +x^3)^3).at n=16A167177
• First differences of A169701.at n=47A169702