-882

Appears in sequences

• Triangle of coefficients of Laguerre polynomials n!*L_n(x) (rising powers of x).at n=33A021009
• Triangle of coefficients of Laguerre polynomials L_n(x) (powers of x in decreasing order).at n=30A021010
• Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows. Let A(n,k) be the triangle in A097474. Then T(n,k) is defined by the orthogonality relations Sum_{j=i..r} T(r,j)*A(j,i)*2^-floor((j+3)/2) = 0 if i != r, = (2r+1)!/(r!*2^r) if i = r.at n=12A097749
• Inverse of number triangle binomial(3n-k,n-k).at n=60A119302
• a(n) = Sum_{d|n} (-1)^(d-1)*d^3.at n=9A138503
• Expansion of Product_{n >= 1} (1+q^(2*n-1))/((1-q^(4*n))*(1+q^(4*n-2))).at n=38A144558
• Irregular triangle read by rows: row n (n > 0) is the expansion of Sum_{m=1..n} A001263(n,m)*x^(m - 1)*(1 - x)^(n - m).at n=45A174128
• Chapman's "evil" determinants I.at n=10A179071
• A179071 for p == 1 (mod 4).at n=4A179073
• Triangle read by rows: T(n,k) = (n!/k!) * [x^n] x^k*(1+x+x^2)^(k*x).at n=21A202189
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of min{i(j+1),j(i+1)} (A203996).at n=32A203997
• Difference between sums of quadratic residues and non-residues modulo n that are coprime to n.at n=83A255643
• Expansion of (psi(x) / phi(x))^6 in powers of x where phi(), psi() are Ramanujan theta functions.at n=5A320049
• Sum of n-th powers of the roots of x^3 + 7*x^2 + 14*x + 7.at n=5A322459
• a(1) = 1; a(n+1) = a(n) +- (sum of digits of a(1) up to a(n)), with "+" when a(n) is odd, or "-" if even.at n=29A332058
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..n} (-k)^(n-j) * (n-j)^j/j!.at n=48A351776
• Triangle read by rows. Let R(n, k) = Y(n, k, B) where Y are the partial Bell polynomials and B is the list [Bernoulli(j, 1), j = 0..n]. T(n, k) are R(n, k) normalized by the lcm of the denominators of the terms in row n (A048803).at n=30A352372
• Triangle of numbers read by rows: T(n,k) = Sum_{i=0..n} binomial(n,i)*(n-i)!*Stirling1(i,k)*TC(n,i) where TC(n,k) = Sum_{i=0..n-k} binomial(n+1,n-k-i)*Stirling2(i+3,i+1)*(-1)^(i) for n >= 0, 0 <= k <= n.at n=51A370518
• Expansion of 1 / Sum_{k in Z} x^(2*k) / (1 - x^(5*k+2)).at n=28A375061
• Triangle read by rows, based on products of Jacobsthal numbers (A001045).at n=25A378931