104348
domain: N
Appears in sequences
- Numerators of convergents to Pi.at n=7A002485
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 34.at n=18A031712
- 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=6A046947
- Numbers k where tan(k) decreases monotonically to 0 (or cot(k) increases).at n=9A046956
- Cos(a(n)) decreases monotonically to -1.at n=5A046965
- 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=30A080142
- Similar to A137284, but considering Sum{ k = 1,2,3,... } 5^(-nk).at n=30A136275
- a(n) = 361*n^2 + 19.at n=17A158592
- 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=8A172451
- Numerators of the other-side convergents to Pi.at n=4A259591
- Integers in the interval [Pi*k - 1/k, Pi*k + 1/k] for some k > 0.at n=27A265735
- 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=15A325158
- a(n) is the smallest integer k > 0 such that 10^(-n-1) < |cos(k) - round(cos(k))| < 10^(-n).at n=10A345670