-486

Appears in sequences

• McKay-Thompson series of class 6D for Monster.at n=10A007257
• Expansion of 6-dimensional cusp form (eta(q) * eta(q^3))^6 in powers of q.at n=18A007332
• Expansion of Product_{m>=1} (1+q^m)^(-3).at n=19A022598
• McKay-Thompson series of class 6D for Monster with a(0) = 1.at n=10A045487
• McKay-Thompson series of class 18f for the Monster group.at n=28A058544
• G.f.: cube root of theta series of E_6 lattice (cf. A004007).at n=2A109143
• McKay-Thompson series of class 6D for the Monster group with a(0) = -4.at n=10A121667
• Expansion of (1+2*x)/(1+3*x+3*x^2).at n=11A123877
• G.f.: 1/(1+2*x-9*x^2-10*x^3+5*x^4).at n=5A124024
• Sequence is identical to its third differences in absolute value: a(0), a(1), a(2), a(2n+1)=3a(2n)-3a(2n-1)+2a(2n-2), a(2n+2)=3a(2n+1)-3a(2n), with a(0)=a(1)=0, a(2)=1.at n=25A131665
• a(2n+1) = 3a(2n)-3a(2n-1)+2a(2n-2), a(2n+2) = 3a(2n+1)-3a(2n), a(0) = 0, a(1) = 1, a(2) = 3.at n=18A133331
• First differences of A046163.at n=26A153171
• A triangle of polynomial coefficients: q(x,n)=(1 - x)^(n + 1)*Sum[(2*k + n)^n*x^k, {k, 0, Infinity}]; p(x,n)=q(x,n)+x^n*q(1/x,n).at n=16A155950
• A triangle of polynomial coefficients: q(x,n)=(1 - x)^(n + 1)*Sum[(2*k + n)^n*x^k, {k, 0, Infinity}]; p(x,n)=q(x,n)+x^n*q(1/x,n).at n=19A155950
• Triangle T(n, k, q) = q^k*Q(k, n, q), with T(0, 0, q) = -2, where Q(k, n, q) = (1/q)*( -Q(k-1, n, q) + (1+q)*p(q, k-1)^n), Q(k, 0, q) = -q*(1+q)^n, p(q, n) = Product_{j=1..n} ( (1-q^k)/(1-q) ), and q = 2, read by rows.at n=15A156222
• A coefficients of characteristic polynomials of binomial modulo two matrices times their doubled transposes: t(n,m,d)=If[ m <= n, Mod[Binomial[n, m], 2], 0]; M(d)=*Transpose[t(n,m,d)].t(n,m,d).Transpose[t(n,m,d)].at n=52A158200
• Alternating sum of the cubes of the first n even-indexed Fibonacci numbers.at n=3A163201
• Reciprocal of Vandermonde determinant of (1/3,1/6,...,1/(3n)).at n=2A203428
• Triangle read by rows: coefficients T(n,k) of a binomial decomposition of n as Sum_{k=0..n} T(n,k)*binomial(n,k).at n=30A244130
• Triangle read by rows: coefficients T(n,k) of a binomial decomposition of n*(n-1) as Sum(k=0..n)T(n,k)*binomial(n,k).at n=31A244138