A362433 - OEIS

%I #26 Apr 29 2023 17:37:16

%S 1,2,13,24,3,5,14,16,25,27,36,38,4,7,49,15,18,60,26,29,71,37,40,8,248,

%T 51,19,259,6,230,270,17,241,28,12,82,52,39,23,9,363,50,34,20,374,61,

%U 45,31,385,72,56,42,396,83,67,53,407,94,78,64,41,810,58,97,55

%N The succession of the digits of the sequence remains the same when 11 is added to each term.

%C This is the lexicographically earliest sequence of distinct positive terms with this property.

%H Michael S. Branicky, <a href="/A362433/b362433.txt">Table of n, a(n) for n = 1..10000</a>

%e The values of a(n) + 11 begin:

%e    1 + 11 = 12,

%e    2 + 11 = 13,

%e   13 + 11 = 24,

%e   24 + 11 = 35,

%e    3 + 11 = 14,

%e    5 + 11 = 16,

%e   14 + 11 = 25, etc.

%e We see that the succession of digits in the first column is the same as the succession of digits in the last column.

%o (Python)

%o from itertools import islice

%o def agen(): # generator of terms

%o     aset, an, s = {"1"}, 2, "2"

%o     yield 1

%o     while True:

%o         i = next(i for i in range(1, len(s)+1) if s[:i] not in aset and (i == len(s) or s[i] != "0"))

%o         an = int(str(s[:i]))

%o         s = s[i:] + str(an+11)

%o         aset.add(str(an))

%o         yield an

%o print(list(islice(agen(), 65))) # _Michael S. Branicky_, Apr 28 2023

%Y Cf. A360227.

%K nonn,base

%O 1,2

%A _Eric Angelini_, Apr 20 2023

%E a(30) and beyond from _Michael S. Branicky_, Apr 28 2023