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.

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

Links

Table of n, a(n) for n=1..34.

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

Cf. A102525, A355512, A355513, A355514.

Sequence in context: A026321 A288994 A226141 * A048221 A183365 A295905

Adjacent sequences: A355512 A355513 A355514 * A355516 A355517 A355518

Keyword

nonn

Author

Hugo Pfoertner, Jul 05 2022

Status

approved