-553

Appears in sequences

• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 7.at n=32A060026
• Weight 5 level 11 cusp form with complex multiplication by Q(sqrt(11)) and trivial character.at n=30A065099
• Triangular sequence from the characteristic polynomials of the SL(n,Z)/ determinants {1,-1} type triantidiagonal 2 center with one upper, -1 side antidiagonal above and below: M(3)={{0, -1, 1}, {-1, 2, -1}, {2, -1, 0}}.at n=69A124022
• Expansion of (1 - 2*x^3 - x^4 - 2*x^5 - x^6 - x^7 - x^8 + 2*x^9)/(1 + x - x^3 - x^4 - x^5 - x^6 - x^7 + x^9 + x^10).at n=45A143335
• A coefficients of characteristic polynomials of A_n Cartan matrices times their transposes: t(n,m,d)=If[ n == m, 2, If[n == m - 1 || n == m + 1, -1, 0]]. M(d)=t(n,m,d)*Transpose[t(n,m,d)].at n=16A158199
• Triangle, T(n, k) = Sum_{j=0..k} (-1)^j*(n+k)!/((n-j)!*(k -j)!*j!) + Sum_{j=0..n-k} (-1)^j*(2*n-k)!/((n-j)!*(n-k-j)!*j!), read by rows.at n=17A176093
• Triangle, T(n, k) = Sum_{j=0..k} (-1)^j*(n+k)!/((n-j)!*(k -j)!*j!) + Sum_{j=0..n-k} (-1)^j*(2*n-k)!/((n-j)!*(n-k-j)!*j!), read by rows.at n=18A176093
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of min(i,j)^2 (A106314).at n=17A204020
• Coefficient table for polynomials used for the formula of partial sums of odd powers of even-indexed Fibonacci numbers.at n=6A217472
• Triangle of coefficients of Gaussian polynomials [2n+3,2]_q represented as finite sum of terms (1+q^2)^k*q^(g-k), where k = 0,1,...,g with g=2n+1.at n=79A267483
• Expansion of Product_{k>=1} (1-x^(3*k-1))^(3*k-1) * (1-x^(3*k-2))^(3*k-2).at n=20A285247
• Expansion of Sum_{k>=1} x^k/(1 + x^k)^3.at n=37A320900
• Dirichlet g.f.: 1 / (zeta(s) * zeta(s-1) * zeta(s-2)).at n=22A328254
• Triangle read by rows where row m is the m-th Gilbreath polynomial and column n is the numerator of the coefficient of the n-th degree term.at n=50A347924
• a(n) = Sum_{k=1..n} (-1)^(k-1) * binomial(k+2,3) * floor(n/k).at n=17A366938
• Fluctuations of the number of biquadrate integers not exceeding 10^n.at n=36A375247