Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #27 Jun 10 2016 00:21:00
%S 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,
%T 21,30,22,23,24,26,27,28,29,40,31,32,33,34,36,37,38,39,41,42,43,151,
%U 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
%N 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.
%C 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
%H Lars Blomberg, <a href="/A234593/b234593.txt">Table of n, a(n) for n = 1..10000</a>
%H Eric Angelini, <a href="http://www.cetteadressecomportecinquantesignes.com/PaquetsAchromes.htm">La suite F</a>
%H E. Angelini, <a href="/A234593/a234593.pdf">La suite F</a> [Cached copy, with permission]
%e Here is the sequence with the multiples of 5 set off by asterisks:
%e 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, ...
%e The numbers of terms between the multiples of 5 is 1, 5, 2, 3, 4, ..., which gives the sequence.
%e Here is the sequence with the 5's digits set off by asterisks:
%e 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, ...
%e The numbers of digits between the 5's is again the sequence.
%K nonn,base
%O 1,2
%A _Eric Angelini_, Jan 01 2014