-6720

Appears in sequences

• Expansion of 1/cos(log(1+x)).at n=7A009007
• Expansion of Product_{m>=1} (1 - m*q^m)^8.at n=11A022668
• Generalized Stirling number triangle of first kind.at n=15A049459
• Coefficient triangle of generalized Laguerre polynomials n!*L(n,2,x) (rising powers of x).at n=24A062139
• Signed variant of A077012.at n=30A078921
• a(n) = determinant of n X n circulant matrix whose first row is the first n square numbers 0, 1, ..., (n-1)^2.at n=3A118707
• Bi-diagonal inverse of [k<=n]*n!/(2k)!.at n=13A119836
• Cumulant expansion numbers: Coefficients in expansion of log(1 + Sum_{k>=1} x[k]*(t^k)/k!).at n=62A127671
• Derived Shabat linear tree transform of A053120: Triangle of coefficients of transformed Chebyshev's T(n, x) polynomials (powers of x in increasing order) T(x,n)->c*T(c*x+d)+d: c=-1;d=1; as substitution: 1-x->y( here alternative starting polynomial of Q(y,1]=1-y.at n=52A136203
• Integral form of A053120 :Triangle of coefficients of Integral form Chebyshev's T(n, x) polynomials (powers of x in increasing order); Much improved version by use of the integro-differential recursive form over a previous attempt.at n=60A136265
• Expansion of 8 * eta(q)^7 / eta(q^7) + 49 * (eta(q) * eta(q^7))^3 in powers of q.at n=30A138809
• Triangle T(n, k) = H(n, k+1) - 2*H(n, k) - H(n, k-1), where H(n, k) = A060821(n+3, k), read by rows.at n=8A140873
• A triangle sequence of permutation Hadamard {1,-1) matrix polynomials: M(d)=Table[If[ m == n, d!/n!, 0], {n, d}, {m, d}]; m(n)=M(2^n)*Hadamard(2^n).at n=39A158452
• A triangle sequence of permutation Hadamard {1,-1) matrix polynomials: M(d)=Table[If[ m == n, d!/n!, 0], {n, d}, {m, d}]; m(n)=M(2^n)*Hadamard(2^n).at n=40A158452
• A triangle sequence of permutation Hadamard {1,-1) matrix polynomials: M(d)=Table[If[ m == n, d!/n!, 0], {n, d}, {m, d}]; m(n)=M(2^n)*Hadamard(2^n).at n=41A158452
• A triangle sequence of permutation Hadamard {1,-1) matrix polynomials: M(d)=Table[If[ m == n, d!/n!, 0], {n, d}, {m, d}]; m(n)=M(2^n)*Hadamard(2^n).at n=42A158452
• The decomposition of a certain labeled universe (A052584), triangle read by rows.at n=23A159749
• Triangle read by rows, based on the two-variable g.f. exp(x*t)*(x*(1 - 2*exp(x)) - 2*exp(x))/(1 - exp(t)) (the second of two parts).at n=31A176295
• Triangle read by rows: the coefficient [t^n x^k] of n!*(n+2)! *exp(x*t) *(t*(1-2*exp(t))-2*exp(t)) / (2*(1-exp(t))), in row n, k=0..n+1.at n=30A176989
• Triangle read by rows: T(n,k) = (n!/k!) * [x^n] x^k*(1+x+x^2)^(k*x).at n=28A202189