411557987

Properties

Appears in sequences

• Numerators of convergents to Pi.at n=17A002485
• Sin(n) decreases monotonically to 0.at n=20A046946
• Numbers k such that |sin(k)| (or |tan(k)| or |sec(k)|) decreases monotonically to 0; also |cos(k)| (or |cosec(k)| or |cot(k)|) increases.at n=16A046947
• Numbers k such that sec(k) decreases monotonically to 1 (or cos(k) increases to 1).at n=14A046955
• Numbers k where tan(k) decreases monotonically to 0 (or cot(k) increases).at n=15A046956
• Primes found among the numerators of the continued fraction rational approximations to Pi.at n=4A086785
• Numerators of convergents to Pi/2.at n=15A096456
• Primes in either the numerator or denominator of continued fraction convergents to Pi.at n=7A224936
• Numerators of the other-side convergents to Pi.at n=14A259591
• Numerators of successive rational approximations converging to 2*Pi from above for n >= 1, with a(-1) = 0 and a(0) = 1.at n=18A298737
• Numerators of convergents to Pi using best rational approximation whose denominator is between consecutive powers of 2: [2^n, 2^(n+1)-1], where n = 0, 1, 2, ...at n=26A325158
• a(n) is the smallest integer k > 0 such that 10^(-n-1) < |cos(k) - round(cos(k))| < 10^(-n).at n=17A345670
• Integers in the interval [Pi*k - 1/k, Pi*k + 1/k] for some k > 0 that are numerators of convergents to 2*Pi.at n=11A362602
• Indices of records of the sequence abs((cos n)^n) starting from n = 1.at n=5A382564
• Positive numbers k such that (cos k)^k sets a new record.at n=9A383541
• Prime numbersat n=21919334