A234593 Lexicographically earliest sequence of distinct positive numbers such that (i) the numbers of terms separating successive multiples of 5 gives the sequence itself, and (ii) the numbers of digits separating successive occurrences of the digit 5 also gives the sequence.

1, 5, 2, 3, 4, 6, 7, 50, 8, 51, 10, 52, 9, 11, 500, 12, 13, 53, 14, 20, 16, 54, 17, 18, 19, 21, 30, 22, 23, 24, 26, 27, 28, 29, 40, 31, 32, 33, 34, 36, 37, 38, 39, 41, 42, 43, 151, 44, 46, 47, 152, 48, 49, 61, 62, 63, 64, 66, 67, 68, 69, 71, 72, 73, 74, 76, 77, 78, 79, 81, 82, 83, 84, 86, 87, 88, 56, 89, 91, 92, 93, 153

Offset

1,2

Comments

The title of the web page is meant to suggest that this "suite" is "sweet", as indeed it is. - N. J. A. Sloane, Jan 01 2014

Links

Lars Blomberg, Table of n, a(n) for n = 1..10000

Eric Angelini, La suite F

E. Angelini, La suite F [Cached copy, with permission]

Example

Here is the sequence with the multiples of 5 set off by asterisks:
1, *5*, 2, 3, 4, 6, 7, *50*, 8, 51, *10*, 52, 9, 11, *500*, 12, 13, 53, 14, *20*, 16, 54, 17, 18, 19, 21, *30*, 22, 23, ...
The numbers of terms between the multiples of 5 is 1, 5, 2, 3, 4, ..., which gives the sequence.
Here is the sequence with the 5's digits set off by asterisks:
1, *5*, 2, 3, 4, 6, 7, *5*0, 8, *5*1, 10, *5*2, 9, 11, *5*00, 12, 13, *5*3, 14, 20, 16, *5*4, 17, 18, 19, 21, 30, 22, 23, 24, 26, 27, 28, 29, 40, 31, 32, 33, 34, 36, 37, 38, 39, 41, 42, 43, 1*5*1, 44, ...
The numbers of digits between the 5's is again the sequence.

Crossrefs

Sequence in context: A071544 A031285 A307603 * A262429 A097078 A302715

Adjacent sequences: A234590 A234591 A234592 * A234594 A234595 A234596

Keyword

nonn,base

Author

Eric Angelini, Jan 01 2014

Status

approved