

A335744


Insert a dot after the first digit of a(n); this is now the beginning of the arithmetic mean of the digits used so far in the sequence. Lexicographically earliest sequence of distinct positive terms with this property.


0



45, 30, 38, 311, 316, 326, 31, 305, 357692, 36, 37, 384, 39, 390243, 390, 376000, 386, 394, 409677, 40, 4088, 407, 4066, 4037, 40476, 4068, 4076, 40309, 40686, 4056, 4027, 40086, 402479, 40396, 40458, 4007, 397222222, 4019867
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OFFSET

1,1


COMMENTS

The sequence starts with a(1) = 45 as any a(1) < 45 would not produce an infinite sequence.


LINKS

Table of n, a(n) for n=1..38.


EXAMPLE

a(1) = 45; inserting a dot between the first two digits produces 4.5; this is now the arithmetic mean (AM) of the digits used so far in the sequence as (4 + 5)/2 = 9/2 = 4.5 (and 4.5 is 45 with a dot);
a(2) = 30; inserting a dot between the first two digits produces 3.0; this is the AM of the digits used so far in the sequence as (4 + 5 + 3 + 0)/4 = 12/4 = 3 (and 3 is 30 with a dot);
a(3) = 38; inserting a dot between the first two digits produces 3.8; this is the beginning of the AM of the digits used so far as (4 + 5 + 3 + 0 + 3 + 8)/6 = 23/6 = 3.83333...
a(4) = 311; inserting a dot between the first two digits produces 3.11; this is the beginning of the AM of the digits used so far as (4 + 5 + 3 + 0 + 3 + 8 + 3 + 1 + 1)/9 = 28/9 = 3.111... [a(4)is not 31 as the AM would then be 3,375; a(4) is not 3111 as 311 comes lexicographically before 3111];


CROSSREFS

Cf. A335743 (same idea, but the AM is given by the first two digits of a(n), separated by a dot).
Sequence in context: A196093 A196090 A335743 * A165248 A085518 A087083
Adjacent sequences: A335741 A335742 A335743 * A335745 A335746 A335747


KEYWORD

base,nonn


AUTHOR

Carole Dubois and Eric Angelini, Jul 02 2020


STATUS

approved



