-1600

Appears in sequences

• Expansion of cos(sin(x))/exp(x).at n=9A009045
• Signed triangle used to compute column sequences of array A078741 ((3,3)-Stirling2).at n=13A090219
• Triangle T(n,k) = k*A053120(n,k).at n=48A136160
• Triangle of coefficients of the Pascal sum of A053120 Chebyshev's T(n, x) polynomials :p(x,n)=2*x*p(x,n-1)-p(x,n-2); pp(x,n)=Sum[Binomial[n,m]*p(x,m),{m,0,n}].at n=59A136663
• A triangle of coefficients based on A139360 as an n-like set of three binomials: f(x,y,n)=ChebyshevT[n, x]*ChebyshevT[n, y] + ChebyshevT[n, x] + ChebyshevT[n, y]; p(x,y,z,n)=f(x,y,n)+f(y,z,n)+f(z,x,n).at n=59A139604
• Triangle of characteristic polynomials, see Mathematica code.at n=16A158390
• a(n) = -(-1)^n * n^2.at n=39A162395
• Totally multiplicative sequence with a(p) = 10*(p-3) for prime p.at n=37A167320
• G.f. satisfies: AGM(1,A(x)) = 1 + 4*x.at n=7A171188
• Lucas-version of A165293.at n=18A171659
• Coefficient array for the fourth power of Chebyshev's S-polynomials as a function of x^2.at n=60A219234
• Coefficients of powers of x^2 of polynomials, called h(2,n,x^2), appearing in a conjecture on alternating sums of fifth powers of odd-indexed Chebyshev S polynomials stated in A220671.at n=23A220672
• Expansion of psi(x)^2 * phi(-x)^6 in powers of x where phi(), psi() are Ramanujan theta functions.at n=44A227695
• 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=25A244130
• Triangle read by rows: terms T(n,k) of a binomial decomposition of n as Sum(k=0..n)T(n,k).at n=19A244131
• 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=26A244138
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 51", based on the 5-celled von Neumann neighborhood.at n=21A270021
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 179", based on the 5-celled von Neumann neighborhood.at n=23A270625
• Alternating sum of centered 25-gonal numbers.at n=15A270693
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 283", based on the 5-celled von Neumann neighborhood.at n=21A271120