-272

Appears in sequences

• Coefficients of Jacobi cusp form of index 1 and weight 10.at n=12A003784
• Expansion of exp(tanh(x))/exp(x).at n=7A009266
• Expansion of log(1+tanh(tanh(x))).at n=7A009387
• Partition function coefficients for square lattice spin 2 Ising model.at n=43A010108
• Expansion of e.g.f.: exp(arctan(sin(x)))=1+x+1/2!*x^2-2/3!*x^3-11/4!*x^4+16/5!*x^5...at n=7A012185
• E.g.f. sinh(arctan(sin(x))) odd powers only.at n=3A012188
• exp(arcsinh(tanh(x))) = 1+x+1/2!*x^2-2/3!*x^3-11/4!*x^4+16/5!*x^5...at n=7A012253
• Expansion of e.g.f. log(sech(x) + tanh(x)).at n=6A013208
• Inverse binomial transform of Thue-Morse sequence A001285.at n=13A029880
• Sum_{k=1..n-1} J(2*n,k)*k^2, where J(i,j) is the Jacobi symbol.at n=33A097543
• Sum_{k=1..2n-1} J(4*n,k)*k^2, where J(i,j) is the Jacobi symbol.at n=16A097544
• Triangle of coefficients of polynomials in Sum_{k=0..n} binomial(n,k) * k^r.at n=27A102573
• Coordination sequence for octagonal tiling is a(n) + A103908(n)*sqrt(2).at n=12A103909
• a(n) = a(n-1) + a(n-3) + a(n-4), n >= 4, with initial terms 1,1,-2,-1.at n=17A111571
• Triangle of tanh numbers.at n=29A111593
• a(n) = Fibonacci(n-1)^2 - Fibonacci(n)^2.at n=7A121646
• Center antidiagonal four in a tri-antidiagonal n-th Matrix generated triangular sequence: first element as 4==m[1,1,1].at n=51A124028
• a(n) = Sum_{k=0..n} C(n,floor(k/2))*(-3)^(n-k).at n=5A127362
• Triangle read by rows: A007318^(-1) * A128541.at n=53A128585
• a(2*n) = A000217(n), a(2*n+1) = -2*A000217(n).at n=33A131259