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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.
1
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.
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
KEYWORD
nonn,base
AUTHOR
Bernard Schott, Dec 22 2021
EXTENSIONS
More terms from Jinyuan Wang, Dec 30 2021
STATUS
approved