A346033 a(n) is the smallest integer k > 0 such that 10^(-n-1) < |sin(k) - round(sin(k))| < 10^(-n).

1, 2, 14, 55, 33, 11, 35489, 46849, 50754, 51819, 52174, 260515, 1719612, 573204, 21104200, 37362253, 42781604, 122925461, 534483448

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Example

For n = 3, a(n) = 55 because 55 is the smallest positive integer k such that 10^(-4) < |sin(k) - round(sin(k))| < 10^(-3): |sin(55) - round(sin(55))| = 0.000244....

Prog

(C++)
/* Only suitable for computing a(0) to a(15) due to double precision limits. */
#include <iostream>
#include <cmath>
using namespace std;
int main(int argc, char** argv) {
    for (int n=0; n<=15; n++) {
        for (int k=1; k<=37362253; k++){
            double x = sin(k);
            double val = abs(x-round(x));
            if (val < pow(10, -n) && val > pow(10, -n-1)) {
                cout << k <<", ";
                break;
            }
        }
    }
}

Crossrefs

Cf. A096456, A345404.

Sequence in context: A208428 A356373 A137482 * A277761 A203576 A178605

Adjacent sequences: A346030 A346031 A346032 * A346034 A346035 A346036

Keyword

nonn,more

Author

Treanungkur Mal, Jul 01 2021

Extensions

a(16)-a(18) from Jon E. Schoenfield and Sean A. Irvine, Jul 02 2021

Status

approved