-538

Appears in sequences

• a(1) = 1, a(2n) = a(2n-1) + c(n) and a(2n+1) = a(2n) - p(n), where c(n)=A002808(n) and p(n)=A000040(n) are the n-th composite and n-th prime numbers, respectively.at n=53A073891
• a(n) = floor( prime(n-1)*A036263(n-2)/ A001223(n-1)).at n=55A094900
• Expansion of (2*x+1)*(4*x^2+8*x+1) / ((x-1)*(3*x^2+3*x+1)*(2*x^3+2*x^2+4*x+1)).at n=5A110686
• a(n) = -n^3 + 7*n^2 - 5*n + 1.at n=11A161708
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202676 based on (1,4,7,10,13,...); by antidiagonals.at n=10A202677
• Poly-Cauchy numbers c_n^(-5).at n=4A223023
• Poly-Cauchy numbers c_4^(-n).at n=4A223851
• a(n) = 3^n + (4^n - 3^n) * (d(n) - 3), where d(n) = A000005(n).at n=4A231919
• Sums of wrecker ball sequences starting with n.at n=22A248961
• Expansion of (1 - x)*Sum_{k>=1} k*phi(k)*x^k/(1 - x^k), where phi() is the Euler totient function (A000010).at n=49A292302
• Sum of the inverse permutation of EKG-sequence, A064664, and its Dirichlet inverse, A323411.at n=41A323412
• G.f.: Sum_{n>=0} x^n * (x^n + i)^n / (1 + i*x^(n+1))^(n+1), where i^2 = -1.at n=44A323675
• Dirichlet inverse of A342671, the greatest common divisor of sigma(n) and A003961(n), where A003961 is fully multiplicative with a(p) = nextprime(p).at n=79A355828
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) is the n-th term of the inverse Stirling transform of j-> (j+1)^k.at n=49A383049