-810

Appears in sequences

• Expansion of tan(log(1+x)).at n=6A003708
• Expansion of Product_{k>=1} (1 - x^k)^9.at n=14A010817
• Expansion of Product_{m >= 1} (1 + q^m)^(-2).at n=35A022597
• Inverse Euler transform of {A001285(0), A001285(1), ...} where A001285(n) is Thue-Morse sequence.at n=37A029878
• Product_{k>=1} 1/(1 - x^k)^a(k) = 1 + 3x.at n=7A038064
• Start with 1, add the next number if one gets a prime then add the next number else subtract the next...at n=42A074170
• Expansion of sqrt(1 + 12*x).at n=4A108735
• Totally multiplicative sequence with a(p) = 9*(p-3) for prime p.at n=25A167319
• A symmetrical triangular sequence:t(n,m)=(StirlingS1[n, m] + StirlingS1[n, n - m])*Binomial[n, m] - (StirlingS1[n, 0] + StirlingS1[n, n - 0])* Binomial[n, 0] + 1.at n=22A174834
• A symmetrical triangular sequence:t(n,m)=(StirlingS1[n, m] + StirlingS1[n, n - m])*Binomial[n, m] - (StirlingS1[n, 0] + StirlingS1[n, n - 0])* Binomial[n, 0] + 1.at n=26A174834
• Sum_{m=0..(n-1)/2} A176263(n-m-1, m).at n=9A178134
• E.g.f. satisfies A(x*e^x) = tan(xA(x))+1.at n=6A184933
• Expansion of o.g.f. (1-x^2)/(1-x+x^4).at n=42A193884
• Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of continued fraction 1/(1 + k*x/(1 + k*x^2/(1 + k*x^3/(1 + k*x^4/(1 + k*x^5/(1 + ...)))))).at n=74A286932
• Triangle read by rows: T(0,0) = 1; T(n,k) = -2*T(n-1,k) + 3*T(n-2,k-1) for 0 <= k <= floor(n/2); T(n,k)=0 for n or k < 0.at n=29A302747
• Expansion of Product_{k>=1} ((1 - 2^k*x^k)/(1 + 2^k*x^k))^(1/2^k).at n=13A303439
• Triangle read by rows of coefficients in expansion of (3-2x)^n, where n is a nonnegative integer.at n=16A303901
• Triangle read by rows: T(0,0) = 1; T(n,k) = 3*T(n-1,k) - 2*T(n-2,k-1) for k = 0..floor(n/2); T(n,k)=0 for n or k < 0. Triangle of coefficients of Fermat polynomials.at n=13A303941
• Triangle read by rows of coefficients in expansions of (-2 + 3*x)^n, where n is nonnegative integer.at n=19A317498
• Triangle read by rows: T(0,0) = 1; T(n,k) = 3 T(n-1,k) - 2 * T(n-3,k-1) for k = 0..floor(n/3); T(n,k)=0 for n or k < 0.at n=13A317502