1146408

Appears in sequences

• Numerators of convergents to Pi.at n=11A002485
• 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=10A046947
• Numbers k where tan(k) decreases monotonically to 0 (or cot(k) increases).at n=11A046956
• Cos(a(n)) decreases monotonically to -1.at n=9A046965
• Numerator of best approximation to Pi with denominator <= 10^n.at n=6A072398
• Solutions of x^2 = ceiling(x*r*floor(x/r)) where r=Pi.at n=13A092328
• a(1) = 1, and for each n >= 2, a(n) is the smallest number such that 1/sin(a(n)) < 1/sin(a(k)) for all k < n, so that 1/sin(a(1)) > 1/sin(a(2)) > ... > 1/sin(a(n)) > ...at n=10A172451
• Numerators of the other-side convergents to Pi.at n=8A259591
• Integers in the interval [Pi*k - 1/k, Pi*k + 1/k] for some k > 0.at n=32A265735
• 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=18A325158
• Numbers m such that 0 <= m*tan(m) < 1, ordered by |m|.at n=14A332095
• Integers k with abs(sin(k)) < 1/k.at n=14A337371
• Nonnegative integers k such that k < sec(k)*csc(k).at n=14A342171
• a(n) is the smallest integer k > 0 such that 10^(-n-1) < |cos(k) - round(cos(k))| < 10^(-n).at n=12A345670
• Positive numbers k such that (cos k)^k sets a new record.at n=5A383541