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URL: https://oeis.org/A336954

⇱ A336954 - OEIS

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A336954

Lexicographically earliest sequence of distinct positive terms such that, in the concatenation of the decimal representations of the terms, for any digit d at position p, d appears at some position q such that abs(p-q) = d.

1

1, 10, 2, 3, 20, 30, 4, 5, 6, 7, 40, 50, 60, 70, 8, 9, 11, 12, 32, 83, 90, 22, 220, 21, 13, 33, 333, 23, 24, 25, 34, 43, 52, 42, 26, 27, 28, 36, 63, 71, 18, 61, 14, 29, 240, 31, 130, 91, 15, 35, 53, 54, 55, 44, 37, 430, 41, 17, 45, 38, 93, 51, 16, 48, 49, 46

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

OFFSET

1,2

COMMENTS

This sequence combines features of A322467 and of A336880.

Some numbers, like 121, cannot appear in this sequence.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program for A336954

EXAMPLE

For n = 1:

- we can choose a(1) = 1.

For n = 2:

- a(2) must start with a digit 1,

- we can choose a(2) = 10.

For n = 3:

- we can choose a(3) = 2.

For n = 4:

- we can choose a(4) = 3.

For n = 5:

- a(5) must start with a digit 2,

- we can choose a(5) = 20.

PROG

(PARI) \\ See Links section.

CROSSREFS

Cf. A322467, A336880.

Sequence in context: A306321 A160136 A333478 * A322467 A342078 A371113

Adjacent sequences: A336951 A336952 A336953 * A336955 A336956 A336957

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, Aug 08 2020

STATUS

approved