-421

Appears in sequences

• E.g.f: log(1+sinh(x))*cosh(x).at n=6A009352
• Expansion of e.g.f. cos(sin(arctan(x))) (even powers).at n=3A012023
• sech(sin(arcsinh(x)))=1-1/2!*x^2+13/4!*x^4-421/6!*x^6+25817/8!*x^8...at n=3A012045
• a(n) = floor(cotangent(n)^3).at n=24A063536
• Expansion of (1 - x + 2*x^2) / (1 - x^3 + x^4).at n=35A110062
• Expansion of (-1+3*x+2*x^2-8*x^3+3*x^5-2*x^6-2*x^7+x^8) / ((x-1)*(x+1)*(x^2-2*x-1)*(x^2+2*x-1)).at n=7A110225
• Expansion of psi(-q)/psi(-q^2) in powers of q where psi() is a Ramanujan theta function.at n=43A116498
• Expansion of -x * (x^5+x^4-15*x^3+19*x^2-8*x+1) / (x^6-12*x^5+34*x^4-30*x^3+6*x^2+3*x-1).at n=5A122173
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 483", based on the 5-celled von Neumann neighborhood.at n=17A272346
• Expansion of Product_{k>=1} (1 + x^(3*k))^(3*k) / (1 + x^k)^k.at n=23A285294
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(Product_{j=1..n} 1/(1+x^j) - 1).at n=41A294289
• E.g.f.: exp(1/((1+x)*(1+x^2)*(1+x^3)) - 1).at n=5A294291
• Triangle read by rows, T(n, k) the coefficients of some polynomials in Pi, for n >= 0 and 0 <= k <= n.at n=26A295517
• Expansion of Sum_{k>=1} mu(k)*log(1 + Sum_{j>=1} x^(prime(j)*k))/k.at n=61A308298
• Expansion of (1/(1 + x)) * Sum_{k>=1} k*x^k/(x^k + (1 + x)^k).at n=7A320589
• Expansion of Product_{k>0} (1 - d(k)*x^k), where d(k) is the number of divisors of k.at n=34A321619
• Expansion of 1/(1 + x*Product_{k>=1} (1 - x^k)).at n=21A331484
• a(n) = n - A354203(sigma(A354202(n))), where A354202 is fully multiplicative with a(p) = A354200(A000720(p)), and A354203 is its left inverse.at n=47A354207
• a(n) = 1 + Sum_{k=2..n} (-1)^k * k * a(floor(n/k)).at n=50A361982
• G.f. Sum_{n=-oo..+oo} (x^n - x)^(n+1).at n=50A378582