The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A328756

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Lexicographically earliest sequence of distinct positive numbers such that for any n > 0, the first nonzero digit of a(n+1)/a(n) is "5".
(history; published version)

#9 by Alois P. Heinz at Tue Oct 29 06:39:23 EDT 2019

STATUS

proposed

approved

#8 by Rémy Sigrist at Tue Oct 29 01:19:20 EDT 2019

STATUS

editing

proposed

#7 by Rémy Sigrist at Tue Oct 29 01:16:15 EDT 2019

LINKS

Rémy Sigrist, <a href="/A328756/b328756.txt">Table of n, a(n) for n = 1..10000</a>

STATUS

approved

editing

Discussion

Tue Oct 29

01:19

Rémy Sigrist: added b-file

#6 by Susanna Cuyler at Mon Oct 28 20:02:22 EDT 2019

STATUS

proposed

approved

#5 by Rémy Sigrist at Mon Oct 28 15:19:40 EDT 2019

STATUS

editing

proposed

#4 by Rémy Sigrist at Sun Oct 27 15:30:49 EDT 2019

COMMENTS

The scatterplot of n -> a(n)/n shows 10 quivering lines.

#3 by Rémy Sigrist at Sun Oct 27 14:54:26 EDT 2019

COMMENTS

In other words, for any n > 0, we have an integer k such that floor(10^k * a(n+1)/a(n)) = 5.

#2 by Rémy Sigrist at Sun Oct 27 04:47:01 EDT 2019

NAME

allocated Lexicographically earliest sequence of distinct positive numbers such that for Rémy Sigristany n > 0, the first nonzero digit of a(n+1)/a(n) is "5".

DATA

1, 5, 25, 13, 7, 4, 2, 10, 50, 26, 14, 8, 40, 20, 11, 6, 3, 15, 75, 38, 19, 95, 48, 24, 12, 60, 30, 16, 9, 45, 23, 115, 58, 29, 17, 85, 43, 22, 110, 55, 28, 140, 70, 35, 18, 90, 46, 27, 135, 68, 34, 170, 86, 44, 220, 111, 56, 31, 155, 78, 39, 21, 105, 53, 265

OFFSET

1,2

EXAMPLE

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

n a(n) a(n+1)/a(n)

-- ---- -----------

1 1 5

2 5 5

3 25 0.52

4 13 0.538461...

5 7 0.571428...

6 4 0.5

7 2 5

8 10 5

9 50 0.52

10 26 0.538461...

11 14 0.571428...

12 8 5

CROSSREFS

See A328752 for similar sequences.

KEYWORD

allocated

nonn,base

AUTHOR

Rémy Sigrist, Oct 27 2019

STATUS

approved

editing

#1 by Rémy Sigrist at Sun Oct 27 04:24:00 EDT 2019

NAME

allocated for Rémy Sigrist

KEYWORD

allocated

STATUS

approved