A350254 a(n) is the numerator of the largest ratio among the A341052(n) ratios for which there exist A341051(n) n-digit integers (the maximum possible) that are in geometric progression.

2, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 11, 11, 11, 11, 11, 12, 12, 13, 12, 13, 13, 13, 14, 14, 14, 15, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 21, 22, 22, 22, 23, 23, 23

Offset

1,1

Comments

The numerator of the corresponding largest ratio is the smallest numerator on the n-th row of A341053, hence, a(n) is the 1st term of the n-th row of A341053.

The corresponding denominator of these ratios is equal to a(n) - 1.

This sequence is not increasing as a(29) = 13 > a(30) = 12.

Links

Table of n, a(n) for n=1..71.

Formula

a(n) = T(n,1), 1st term of the n-th row of A341053.

a(n) = A350255(n) iff A341052(n) = 1.

Example

There exist A341051(9) = 11 integers in the largest possible string with 9-digit numbers that are in geometric progression, and three such strings are obtained with the A341052(9) = 3 distinct following ratios 5/4 > 6/5 > 7/6. The largest ratio is 5/4 and a(9) = 5.

Crossrefs

Cf. A341051, A341052, A341053, A350255.

Sequence in context: A192512 A036234 A061091 * A196241 A086592 A279783

Adjacent sequences: A350251 A350252 A350253 * A350255 A350256 A350257

Keyword

nonn,base

Author

Bernard Schott, Dec 22 2021

Extensions

More terms from Jinyuan Wang, Dec 30 2021

Status

approved