login
A355515
Sum of numerator and denominator in a rational approximation j/k of q = log(2)/log(3), such that j/k - q is a new minimum, i.e., q is approximated from above.
4
2, 5, 18, 31, 137, 928, 1719, 42047, 82375, 287453, 779984, 1272515, 1765046, 2257577, 2750108, 3242639, 3735170, 4227701, 4720232, 5212763, 5705294, 6197825, 6690356, 7182887, 7675418, 8167949, 8660480, 9153011, 9645542, 10138073, 10630604, 11123135, 11615666, 12108197
OFFSET
1,1
PROG
(PARI) a355515(upto) = {my(q=log(2)/log(3), dmin=oo); for (m=1, upto, my(n=ceil(m*q), qq=n/m, d=qq-q); if (d<dmin, print1(n+m, ", "); dmin=d))};
\\ needs increased precision for larger terms
a355515(10^7)
CROSSREFS
KEYWORD
nonn
AUTHOR
Hugo Pfoertner, Jul 05 2022
STATUS
approved