|
|
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.
|
|
1
|
|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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
|
|
|
FORMULA
|
a(n) = T(n,1), 1st term of the n-th row of A341053.
|
|
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
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|