80143857

Appears in sequences

• Numerators of convergents to Pi.at n=14A002485
• Numbers k at which the fractional part of tan(k) reaches a record high.at n=19A019435
• 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=13A046947
• Numbers k such that sec(k) decreases monotonically to 1 (or cos(k) increases to 1).at n=13A046955
• 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=13A172451
• Integers in the interval [Pi*k - 1/k, Pi*k + 1/k] for some k > 0.at n=38A265735
• 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=24A325158
• Minimal numerator among the fractions with n-digit numerator and n-digit denominator that best approximate Pi.at n=7A327360
• a(n) is the numerator of the rational number with the smallest denominator that lies within 1/10^n of Pi.at n=15A360366
• Intersection of A002485 and A360366.at n=9A360369
• 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=10A362602
• Positive numbers k such that (cos k)^k sets a new record.at n=7A383541