-548
domain: Z
Appears in sequences
- Magnetization for hexagonal lattice.at n=9A007207
- 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=62A101897
- Alternating sum of diagonals in A060177.at n=47A104575
- Expansion of x*(8*x^5 + 5*x^4 - x^3 - 5*x^2 - 1)/(x^6 + 3*x^5 + 6*x^4 + 4*x^3 - 5*x^2 + x - 1).at n=12A122607
- Triangle T(n,0)=0 and T(n,k) = -A028421(n-1,k-1), 0<k<=n.at n=23A136426
- Expansion of 1/(1 +x -2*x^2 -x^3 -x^4 -3*x^5 +2*x^6 +2*x^7 +3*x^8 +2*x^9 -3*x^10 -7*x^11 -3*x^12 -5*x^13).at n=13A143372
- Years in which a transit of Venus (as seen from Earth) took place or is expected to occur, according to the catalog by Fred Espenak.at n=22A171467
- The numerator of the n-th term of the inverse binomial transform of the sequence 0, 1, 0, B_2, B_3, B_4, .. of modified Bernoulli numbers.at n=8A176618
- G.f. satisfies: A(x) = 1/Product_{n>=1} (1 - x^n/A(x^n)^n).at n=41A205777
- Choose smallest m>0 such that the n-th rational prime p ramifies in the imaginary quadratic extension field K = Q(sqrt(-m)); a(n) = discriminant(K).at n=32A220861
- Triangle read by rows: T(n,k) is the coefficient A_k in the transformation Sum_{k=0..n} x^k = Sum_{k=0..n} A_k*(x-3*(-1)^k)^k.at n=33A249269
- Expansion of 1/(1 + x^2 + x^3/(1 + x^5 + x^7/(1 + x^11 + x^13/(1 + ... + x^prime(2*k)/(1 + x^prime(2*k+1) + ...))))), a continued fraction.at n=44A292801
- a(n) = (-1)^(n + 1) * n * ceiling(n/2) + Sum_{k=1..n} (-1)^k * k^2 * floor(n/k).at n=46A329970
- a(n) = Sum_{k=0..floor(n/4)} (-1)^k * binomial(n+3,4*k+3) * Catalan(k).at n=9A360050
- G.f. satisfies A(x) = exp( Sum_{k>=1} (3 * (-1)^k + A(x^k)) * x^k/k ).at n=18A363566