312689

Appears in sequences

• Numerators of convergents to Pi.at n=9A002485
• Sin(n) decreases monotonically to 0.at n=10A046946
• 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=8A046947
• Numbers k such that sec(k) decreases monotonically to 1 (or cos(k) increases to 1).at n=8A046955
• Numbers k where tan(k) decreases monotonically to 0 (or cot(k) increases).at n=10A046956
• Numerator of best approximation to Pi with denominator <= 10^n.at n=5A072398
• Least positive integer multiples of angle x such that their direction cosines form a unit vector: Sum_{k>0} cos(a(k)*x)^2 = 1, where a(1)=1, a(n+1)>a(n) and x=3-Pi/2.at n=32A080139
• Greedy frac multiples of 1/Pi: a(1)=1, Sum_{n>0} frac(a(n)*x) = 1 at x=1/Pi, where "frac(y)" denotes the fractional part of y.at n=37A080142
• Solutions of x^2 = ceiling(x*r*floor(x/r)) where r=Pi.at n=12A092328
• Numerators of the other-side convergents to Pi.at n=6A259591
• Integers in the interval [Pi*k - 1/k, Pi*k + 1/k] for some k > 0.at n=29A265735
• Numerators of successive rational approximations converging to 2*Pi from above for n >= 1, with a(-1) = 0 and a(0) = 1.at n=10A298737
• 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=16A325158
• Numbers m such that 0 <= m*tan(m) < 1, ordered by |m|.at n=13A332095
• Numbers k for which csc(k) > k.at n=7A337249
• Integers k with abs(sin(k)) < 1/k.at n=13A337371
• Nonnegative integers k such that k < sec(k)*csc(k).at n=13A342171
• a(n) is the smallest integer k > 0 such that 10^(-n-1) < |cos(k) - round(cos(k))| < 10^(-n).at n=11A345670
• a(n) is the numerator of the rational number with the smallest denominator that lies within 1/10^n of Pi.at n=10A360366
• Intersection of A002485 and A360366.at n=5A360369