A350255 a(n) is the numerator of the smallest 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, 5, 5, 5, 5, 7, 8, 7, 7, 8, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 11, 12, 12, 13, 13, 14, 14, 15, 14, 14, 15, 15, 16, 15, 17, 17, 16, 16, 18, 17, 18, 18, 19, 19, 18, 19, 19, 21, 20, 20, 20, 20, 21, 21, 21, 21, 21, 23, 22, 24, 23, 24, 24, 23, 25

Offset

1,1

Comments

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

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

This sequence is not increasing as a(38) = 16 > a(39) = 15.

Links

Table of n, a(n) for n=1..70.

Formula

a(n) = A350254(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 smallest ratio is 7/6 and a(9) = 7.

Crossrefs

Cf. A341051, A341052, A341053, A350254.

Sequence in context: A140858 A075458 A332271 * A267861 A253548 A083036

Adjacent sequences: A350252 A350253 A350254 * A350256 A350257 A350258

Keyword

nonn,base

Author

Bernard Schott, Dec 22 2021

Extensions

More terms from Jinyuan Wang, Dec 30 2021

Status

approved