26537

Appears in sequences

• Expansion of e.g.f. cos(tanh(x)*cos(x)), even powers only.at n=4A009091
• Expansion of exp(tan(x)*cosh(x)).at n=8A009247
• Sum of Gaussian binomial coefficients for q=12.at n=4A015200
• Expansion of 1/(1 - x + 4*x^2).at n=15A106853
• Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+223)^2 = y^2.at n=9A130609
• Least k such that k*6^n-1 , k*6^n+1, and 2*k*6^n-1 are prime; that is, twin primes and a Sophie Germain prime.at n=42A212481
• G.f.: exp( Sum_{n>=1} A163659(n^3)*x^n/n ), where x*exp(Sum_{n>=1} A163659(n)*x^n/n) = S(x) is the g.f. of Stern's diatomic series (A002487).at n=13A237646
• G.f. satisfies: A(x) = (1 + x + x^2)^7 * A(x^2)^4.at n=6A237647
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 566", based on the 5-celled von Neumann neighborhood.at n=40A272989
• Number of oriented colorings of the tetrahedral facets (or vertices) of a regular 4-dimensional simplex using n or fewer colors.at n=16A337895