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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
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 19 20:41 EST 2020. Contains 331066 sequences. (Running on oeis4.)