A362433 The succession of the digits of the sequence remains the same when 11 is added to each term.

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, 51, 19, 259, 6, 230, 270, 17, 241, 28, 12, 82, 52, 39, 23, 9, 363, 50, 34, 20, 374, 61, 45, 31, 385, 72, 56, 42, 396, 83, 67, 53, 407, 94, 78, 64, 41, 810, 58, 97, 55

Offset

1,2

Comments

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

Links

Michael S. Branicky, Table of n, a(n) for n = 1..10000

Example

The values of a(n) + 11 begin:
   1 + 11 = 12,
   2 + 11 = 13,
  13 + 11 = 24,
  24 + 11 = 35,
   3 + 11 = 14,
   5 + 11 = 16,
  14 + 11 = 25, etc.
We see that the succession of digits in the first column is the same as the succession of digits in the last column.

Prog

(Python)
from itertools import islice
def agen(): # generator of terms
    aset, an, s = {"1"}, 2, "2"
    yield 1
    while True:
        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"))
        an = int(str(s[:i]))
        s = s[i:] + str(an+11)
        aset.add(str(an))
        yield an
print(list(islice(agen(), 65))) # Michael S. Branicky, Apr 28 2023

Crossrefs

Cf. A360227.

Sequence in context: A243619 A243620 A090526 * A284516 A284651 A031038

Adjacent sequences: A362430 A362431 A362432 * A362434 A362435 A362436

Keyword

nonn,base

Author

Eric Angelini, Apr 20 2023

Extensions

a(30) and beyond from Michael S. Branicky, Apr 28 2023

Status

approved