489061

Properties

Appears in sequences

• Numbers k such that k^2 is centered hexagonal.at n=5A001570
• Denominators of continued fraction convergents to sqrt(12).at n=10A041017
• Denominators of continued fraction convergents to sqrt(48).at n=10A041083
• Binomial transform of sinh(x)*cosh(sqrt(3)*x).at n=11A084156
• a(2n) = A001570(n), a(2n+1) = -A007654(n+1).at n=10A108946
• a(2*n) = A001570(n), a(2*n+1) = A011943(n+1).at n=10A110293
• Primes of the form ((2 + sqrt(3))^(2*k+1) + (2 - sqrt(3))^(2*k+1))/4.at n=4A117808
• Triangle T(n, k) = 2*(-1 + 2*k)*T(n-1, k) - T(n-2, k) with T(-2, k) = T(-1, k) = 1, read by rows.at n=14A122053
• a(n) = 14*a(n-1) - a(n-2), with a(1) = a(2) = 1.at n=6A122571
• Prime numbers that contain each of the digits 0,1,4,6,8,9 exactly once.at n=25A138165
• Numerators of continued fraction convergents to sqrt(3)/2.at n=11A144535
• Numerators of fractions x^n + y^n, where x + y = 1 and x^2 + y^2 = 2.at n=21A173299
• Primes in A173299.at n=11A173929
• Array of a(n)=a(n-1)*k-((k-1)/(k^n)) where a(0)=1 and k=(sqrt(x^2-1)+x)^2 for integers x>=1.at n=22A188646
• Exceptional primes: those for which Eq. (4.8) in Cosgrave and Dilcher (2011) fails.at n=4A239902
• Primes whose anti-divisors sum to a prime.at n=32A259932
• Split primes p such that prime P lying above p is a Wieferich place of K (with discriminant D_K), for some imaginary quadratic field K of class number 1.at n=12A275118
• Primitive part of A001353(n).at n=21A306825
• a(n) is the greatest divisor of A001353(n) that is coprime to A001353(m) for all positive integers m < n.at n=21A309526
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = 4^(2*n*k) * Product_{a=1..n} Product_{b=1..k} (1 - sin(a*Pi/(2*n+1))^2 * cos(b*Pi/(2*k+1))^2).at n=26A340432