login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A328760 Lexicographically earliest sequence of distinct positive numbers such that for any n > 0, the first nonzero digit of a(n+1)/a(n) is "9". 2

%I #9 Oct 29 2019 04:39:14

%S 1,9,81,8,72,7,63,6,54,5,45,41,4,36,33,3,27,25,23,21,2,18,17,16,15,14,

%T 13,12,11,10,90,82,74,67,61,55,50,46,42,38,35,32,29,28,26,24,22,20,19,

%U 171,154,139,126,114,103,93,84,76,69,64,58,53,48,44,40,37

%N Lexicographically earliest sequence of distinct positive numbers such that for any n > 0, the first nonzero digit of a(n+1)/a(n) is "9".

%C In other words, for any n > 0, we have an integer k such that floor(10^k * a(n+1)/a(n)) = 9.

%C The scatterplot of n -> a(n)/n shows 22 quivering lines.

%H Rémy Sigrist, <a href="/A328760/b328760.txt">Table of n, a(n) for n = 1..10000</a>

%e The first terms, alongside a(n+1)/a(n), are:

%e n a(n) a(n+1)/a(n)

%e -- ---- -----------

%e 1 1 9

%e 2 9 9

%e 3 81 0.098765...

%e 4 8 9

%e 5 72 0.097222...

%e 6 7 9

%e 7 63 0.095238...

%e 8 6 9

%e 9 54 0.092592...

%e 10 5 9

%e 11 45 0.911111...

%e 12 41 0.097560...

%Y See A328752 for similar sequences.

%K nonn,base

%O 1,2

%A _Rémy Sigrist_, Oct 27 2019

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 18 21:51 EDT 2024. Contains 371781 sequences. (Running on oeis4.)